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Four farmers took their goats to the market. Mohamed had two more goats than Ali. Koech had 3 times as many goats as Mohamed, whereas Odupoy had 10 goats less than both Mohamed and Koech.

Class: Form 1

Subject: Mathematics

Topic: Linear Equations

Lesson Summary

Four farmers took their goats to the market. Mohamed had two more goats than Ali. Koech had 3 times as many goats as Mohamed, whereas Odupoy had 10 goats less than both Mohamed and Koech.

(i) Write a simplified algebraic expression with one variable, representing the total number of goats.
(ii) Three butchers bought all the goats and shared them equally. If each butcher got 17 goats, how many did Odupoy sell to the butchers.



Text Answer


i)
Mohamed = x + 2
Ali = x
Koech = 3(x+2)
Odupoy = 3x + 6 + x + 2 – 10
= x + 2, x, 3x + 6, 4x – 2
Total = x + 2+ x + 3x + 4x -2 = 9x + 6

ii)
9𝑥+63=17

9x + 6 = 17 ×3
9x + 6 = 51
9x9=459
𝑥=5

Odupoy = 4x – 2
= 4(5)–2
=20 – 2

= 18 goats.

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