If I have 3 apples and 2 pears and I spent a total of 3 dollars and I know apples cost half as much as pears. What did I spend on apples and pears?
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Let a be the cost of an apple
let p be the cost of a pear
what are the equations that relate these numbers?
total cost of fruit
3 = 3a + 2p
cost relationship
2a=p
to solve, substitute p =2a into other equation
3 = 3a + 2(2a)
combine terms
3 = 3a + 4a
3 = 7a
a = $3/7 = $0.429
substitute into either formula
p = 2*(3/7) = $6/7 = $0.858
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