Kamau spend $\frac{3}{5}$ of his money on buying food and $\frac{1}{2}$ of what was left on rent. After that, he finds that he has sh 1 400 left in his pocket. Determine the amount spent on buying food.

Kamau spend $\frac{3}{5}$ of his money on buying food and $\frac{1}{2}$ of what was left on rent. After that, he finds that he has sh 1 400 left in his pocket. Determine the amount spent on buying food.

---

Let the total money be sh y

Food = $\frac{3}{5}$; Rent = $\frac{1}{2}\times \; \frac{2}{5}$ = $\frac{1}{5}$

Balance = 1 - ($\frac{3}{5} + \frac{1}{5}$) = $\frac{1}{5}$

$\frac{1}{5}$ x y = 1 400

$\frac{3}{5}$ x y = food

Food x $\frac{y}{5} = \frac{3y}{5}$ x 1 400

Food = $\frac{5}{y}\; \times \frac{3y}{5}\times 1 400$

= 1 400 x 3 = sh 4 200

---

johnmulu answered the question on March 9, 2017 at 06:20

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• Evaluate $\frac{-45\div (-15\times 4 - (-38))}{-50\times 50\div 5\times (-5)}$ (Solved)
  

  Evaluate $\frac{-45\div (-15\times 4 - (-38))}{-50\times 50\div 5\times (-5)}$

  Date posted: March 9, 2017 .    Answers (1)

• Express the numbers 20, 40 and 80 each as a product of its prime factors. Hence find the L.C.M of the numbers in factor form (Solved)
  

  Express the numbers 20, 40 and 80 each as a product of its prime factors. Hence find the L.C.M of the numbers in factor form

  Date posted: March 9, 2017 .    Answers (1)

• Write twenty million, four hundred and thirty one thousand, four hundred and one symbols. (Solved)
  

  Write twenty million, four hundred and thirty one thousand, four hundred and one symbols.

  Date posted: March 9, 2017 .    Answers (1)

• The positions of two towns X and Y are given to the nearest degree as X(45^oN, 10^oW) and Y(45^oN, 70^oW). Find (Solved)
  

  The positions of two towns X and Y are given to the nearest degree as X(45^oN, 10^oW) and Y(45^oN, 70^oW). Find
  a) The difference in longitude
  b) The distance between the towns in
  ii) Nautical miles (1nm = 1.85 km and R = 6370 km)
  ii) the local time at Y is 2.00 p.m
  

  Date posted: March 8, 2017 .    Answers (1)

• Simplify: $\frac{3a^2\;-48}{48\;-24a + 3a^2}$ (Solved)
  

  Simplify: $\frac{3a^2\;-48}{48\;-24a + 3a^2}$

  Date posted: March 8, 2017 .    Answers (1)

• Two points P and Q lies on latitude 65 ²S. Their longitudes are 96 ²E and 84 ²W respectively. Find the distance between them in km. Take R = 6370 km and $\pi = 3.142$ (Solved)
  

  Two points P and Q lies on latitude 65 ²S. Their longitudes are 96 ²E and 84 ²W respectively. Find the distance between them in km. Take R = 6370 km and $\pi = 3.142$

  Date posted: March 8, 2017 .    Answers (1)

• Calculate the area enclosed between the curve y = 6x - x² x –axis and the lines x = 1 and x = 5 using... (Solved)
  

  Calculate the area enclosed between the curve y = 6x - x² x –axis and the lines x = 1 and x = 5 using the mid-ordinate rule with four strips

  Date posted: March 8, 2017 .    Answers (1)

• Calculate the area enclosed between the curve y = 6x - x², x - axis and the lines x = 1 and x = 5 using the mid-ordinate rule with four strips (Solved)
  

  Calculate the area enclosed between the curve y = 6x - x², x - axis and the lines x = 1 and x = 5 using the mid-ordinate rule with four strips

  Date posted: March 8, 2017 .    Answers (1)

• Intersection point of the lines of equations 2x – 3y = -29 and circle whose radius is 5 units. Find the equation of the circle (Solved)
  

  Intersection point of the lines of equations 2x – 3y = -29 and circle whose radius is 5 units. Find the equation of the circle

  Date posted: March 8, 2017 .    Answers (1)

• A ship leaves an island (5^o, 45^oE) and sails due east for 120 hours to another island. The average speed of the ship is 27 knots (Solved)
  

  A ship leaves an island (5^o, 45^oE) and sails due east for 120 hours to another island. The average speed of the ship is 27 knots
  a) Calculate the distance between the two islands
  i) in nautical miles
  ii) in kilometres
  b) Calculate the speed of the ship in kilometres per hour
  c) Find the position of the second island. (Take 1 nm to be 1.853 km and the radius of the earth to be 6370 km)

  Date posted: March 8, 2017 .    Answers (1)

• A stone is thrown vertically upwards such that its height is S metres above the ground after t seconds is given by s = 40t - 10t². Find (Solved)
  

  A stone is thrown vertically upwards such that its height is S metres above the ground after t seconds is given by s = 40t - 10t².
  Find
  i) The height above the ground after 2 seconds
  ii) The velocity after 1 second
  iii) The instant at which the stone is 30 m high

  Date posted: March 8, 2017 .    Answers (1)

• A solid cone of height 12 cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere (Solved)
  

  A solid cone of height 12 cm and radius 9 cm is recast into a solid sphere. Calculate the surface area of the sphere

  Date posted: March 8, 2017 .    Answers (1)

• Solve the simultaneous equations x² + y² = 26 x + y = 4 (Solved)
  

  Solve the simultaneous equations
  x² + y² = 26
  x + y = 4

  Date posted: March 8, 2017 .    Answers (1)

• A G.P has third term 24 and sixth term 192. Determine the first term and the common ratio (Solved)
  

  A G.P has third term 24 and sixth term 192. Determine the first term and the common ratio

  Date posted: March 8, 2017 .    Answers (1)

• The sides of triangles were measured and recorded as 8.4 cm, 10.5 cm and 15.3 cm. Calculate the percentage error in perimeter (Solved)
  

  The sides of triangles were measured and recorded as 8.4 cm, 10.5 cm and 15.3 cm. Calculate the percentage error in perimeter correct to 2 decimal places

  Date posted: March 7, 2017 .    Answers (1)

• The equation of a curve is y = 3x² -4x + 1, Find the gradient function of the curve and its value when x = 2 (Solved)
  

  The equation of a curve is
  y = 3x² -4x + 1
  a) Find the gradient function of the curve and its value when x = 2
  b) Determine the equation of the tangent to the curve at(2,5)

  Date posted: March 7, 2017 .    Answers (1)

• a) The nth term of a sequence is given as 3^{(m + 1)} - 2m. (Solved)
  

  a) The nth term of a sequence is given as 3^{(m + 1)} - 2m. Find the 5th term of the sequence
  b) Atieno was employed by NGO on contract for a certain number of years. Her basic annual salary for the first year was sh 580 000 and her last basic annual salary was sh 630 400. By end of contract she had earned a total basic salary of sh 4 841 600. If the annual increment was constant, calculate
  i) The period of the contract
  ii) The annual increment
  iii) The annual basic salary in the third year of contract
  

  Date posted: March 7, 2017 .    Answers (1)

• Find the radius of the circum-circle of a triangle in which angle A = 69^o and a = 3.95 cm. (Solved)
  

  Find the radius of the circum-circle of a triangle in which angle A = 69^o and a = 3.95 cm. Give your answer to four significant figures

  Date posted: March 7, 2017 .    Answers (1)

• Evaluate$\frac{2}{2 +\sqrt3} + \frac{2 \sqrt3}{2 - \sqrt3} = a + b\sqrt3$ (Solved)
  

  Given that
  $\frac{2}{2 +\sqrt3} + \frac{2 \sqrt3}{2 - \sqrt3} = a + b\sqrt3$
  where a and b are rational numbers. Find the values of a and b

  Date posted: March 7, 2017 .    Answers (1)

• For a given set of data the variance is (2 + x) and the standard deviation is 1.5. Find the value of x (Solved)
  

  For a given set of data the variance is (2 + x) and the standard deviation is 1.5. Find the value of x

  Date posted: March 7, 2017 .    Answers (1)