Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?

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Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?

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Answer 1 · 2015-09-28T12:41:50

Let's first translate that in "the language".

Explanation:

$6*p+3*a=3.90and2*p+5*a=3.30$
We multiply the second equation (all of it) by 3, because that will also give us the price of 6 pears plus apples (as in the first), and the price difference will only be caused by the different number of apples:

$6*p+15*a=9.90$ now subtract the other equation:
$-(6*p+3*a=3.90)$
So: $12*a=6.00->a=0.50$ (=price of an apple)

Put this into one of the equations:
$2*p+5*0.50=3.30->2*p=3.30-2.50=0.80->$
$p=0.40$ (price of a pear)

Check!
$6*0.40+3*0.50=3.90and2*0.40+5*0.50=3.30$

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Six pears and three apples cost $3.90. Two pears and five apples cost $3.30. How much does one pear cost?

1 Answer

Explanation:

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