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Beja bought 15 shirts and 8 trousers for Shs. 11, 250. His brother Jack bought 20% less similar shirts and 25% more similar trousers, from the same shop for Shs. 11, 700. Find the cost od a shirt.

      

Beja bought 15 shirts and 8 trousers for Shs. 11, 250. His brother Jack bought 20% less similar shirts and 25% more similar trousers, from the same shop for Shs. 11, 700. Find the cost od a shirt.

  

Answers


John
Let the cost of a shirt be s and a trouser be t.

trousers be t.

15s + 8t = 11 250 ................ (i)

Jack bought

$\frac{80}{100}$ x 15 = 12 shorts

$\frac{125}{100}$ x 8 = 10 trousers

12s + 10t = 11 700

Multiply eqn. (i) by 10 and eqn. (ii) by 8

150s + 80t = 112 500

196s + 80t = 93 600 -

54s = 18 900

s = 350

The cost of a shirt is sh 350
johnmulu answered the question on June 8, 2017 at 11:36


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