Question

See when shopping at the farmers market and bought apples and bananas at the fruitstand she bought 20 pieces of fruit and spent 11.50 . Apples cost $.50 and bananas cost $.75 each Friday system that describes the number of apples and bananas but be sure to find your variables

Answer 1

PART A
apples = a
bananas = b
a + b = 20
$0.50a + $0.75b = $11.50

PART B
a + b = 20
a +b -b = 20 - b
a = 20 -b
$0.50(20-b) + $0.75b = $11.50
10 - 0.50b + 0.75b = $11.50
10 + 0.25b = 11.50
10 -10 + 0.25b = 11.50 -10
0.25b = 1.5
0.25b/0.25 = 1.5/0.25
b = 6

a = 20 -b
a = 20 -6
a = 14

PART C
Missy bought 14 apples and 6 banans.

Check
$0.50(14) + $0.75(6) = $11.50
$7 + $4.50 = $11.50
$11.50 = $11.50