I want to buy fruits, but

Algebra Level 2

2 kilograms of apple has the same price as 2.5 kilograms of pear. At the same rate, the total price of 10 kilograms of apple and 15 kilograms of pear is $66. Find the price of 1 kilograms of apple.

3.00 7.20 6.50 5.45

1 solution

A Former Brilliant Member
May 27, 2018

Let $A$ be the price of one kilogram of apple in $ and $P$ be the price of one kilogram of pear in $. Then we have the two equations

$2A=2.5P$ $\color{#D61F06}\implies$ $(1)$

$10A+15P=66$ $\color{#D61F06}\implies$ $(2)$

Solve for $P$ in terms of $A$ in $(1)$ , we get $P=\dfrac{2}{2.5}A$ . Substitute the result in $(2)$ , we get $\boxed{A=3}$ .

I want to buy fruits, but

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