# A farmer had 540 bags of maize each having a mass of 112kg.After drying the maize,the mass decreased in the ratio 15:16.

Class: Form 1

Subject: Mathematics

Topic: Rates, Ratios, Proportions and Percentages

## Lesson Summary

A farmer had 540 bags of maize each having a mass of 112kg.After drying the maize,the mass decreased in the ratio 15:16.

a)Calculate the total mass lost after the maize was dried.

b)A trader bought and repacked the dried maize in 90kg bags.He transported the maize in a lorry which could carry a maximum of 120 bags per trip.

i)Determine the number of the trips the lorry made.

ii)The buying price of a 90kg bag of maize was ksh 1,500.The trader paid ksh 2,500 per trip to transport the maize to the market.He sold the maize and made a profit of 26%.Calculate the selling price of each bag of the maize.

### Text Answer

a)Calculate the total mass lost after the maize was dried.

Mass of 540 bags = 540 x 112 = 60,480kg

ππ ππππππ16= 56700kg

Mass lost = 60480 -56700 = 3780kg

b)A trader bought and repacked the dried maize in 90kg bags.He transported the maize in a lorry which could carry a maximum of 120 bags per trip.

i)Determine the number of the trips the lorry made.

Number of 90kg bags = 56700Γ·ππ = 630

Number of trips = 630Γ· 120 = 5.25

6 trips (No a quarter trip)

ii)The buying price of a 90kg bag of maize was ksh 1,500.The trader paid ksh 2,500 per trip to transport the maize to the market.He sold the maize and made a profit of 26%.Calculate the selling price of each bag of the maize.

Total cost incurred by the trader = 630bags x sh 1500 = sh 945,000

Transport cost = 6trips x sh 2500 = 15000

945,000 +15000 = 960,000

Profit is 26%

Therefore the selling price is 126% of the total cost

126% x 960,0000 = 1,209,600

Cost per bag =1209600Γ·πππ =sh 1920

Next: Two alloys,A and B,are each made up of copper,zinc znd tin.In alloy A,the ratio of copper to zinc is 3:2 and the ratio of zinc to tin is 3:5.

Previous: Three partners Amina,Bosire and Karuri contributed a total of ksh 4800000 in the ratio 4:5:7 to buy an 8 hectares piece of land.

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