Question

angelic bought apples and bananas at the bulk store. she bought 20 pieces of fruit and spent $11.50. apples cost $0.50 and bananas cost $0.75 each. find how many apples (x) and bananas (y) angelic purchased.
solution (
,
)
number of bananas?
number of apples?

Explanation:

Step1: Define variables & equations

Let $x$ = number of apples, $y$ = number of bananas.
Total fruit: $x + y = 20$
Total cost: $0.50x + 0.75y = 11.50$

Step2: Isolate variable from first eq.

$x = 20 - y$

Step3: Substitute into cost equation

$0.50(20 - y) + 0.75y = 11.50$
$10 - 0.50y + 0.75y = 11.50$
$10 + 0.25y = 11.50$

Step4: Solve for $y$

$0.25y = 11.50 - 10$
$0.25y = 1.50$
$y = \frac{1.50}{0.25} = 6$

Step5: Solve for $x$

$x = 20 - 6 = 14$

Answer:

Number of bananas? 6
Number of apples? 14