SOLUTION: 1. Four pens and five pencils cost a total of $3.70. If a pen costs 25 cents more than a pencil , find the cost of each item. 2. The perimeter of a rectangle is 44 centimetres.

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Question 997227: 1. Four pens and five pencils cost a total of $3.70. If a pen costs 25 cents more than a pencil , find the cost of each item.
2. The perimeter of a rectangle is 44 centimetres. If its length is three times its width, find the dimensions of the rectange.
Please answer with working out
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, pencil price in dollars
y, pen cost in dollars
y=x%2B0.25
Then the counted items with cost, 4y%2B5x=3.70

Simply substitute for y.
4%28x%2B0.25%29%2B5x=3.7
Simplify and solve.
4x%2B1%2B5x=3.7
9x%2B1=3.7
9x=3.6
x=3.6%2F9=4%2A9%2F%289%2A10%29
highlight%28x=2%2F5%29 in dollars, being 40 cents for one pencil.