Question

Nedra purchased apples and oranges at the grocery store. Apples are $0.55 each and oranges are $0.75 each. If she spent a total of $12.65 for 19 pieces of fruit, which two linear equations can be used to find the number of apples and oranges? Then determine how many pieces of each fruit she purchased.

Answer 1

The two linear equation

x + y = 19.... Equation 1

0.55x + 0.75y = 12.65... Equation 2

Nedra purchased

9 Apples and 11 Oranges

Explanation:

Nedra purchased apples and oranges at the grocery store. which two linear equations can be used to find the number of apples and oranges?

Let the number of apples be represented by x

The number of oranges by represented by y.

Hence,

Apples are $0.55 each and oranges are $0.75 each. If she spent a total of $12.65 for 19 pieces of fruit,

Hence:

x + y = 19..... Equation 1

x = 19 - y

$0.55 × x + $0.75 × y = $12.65

0.55x + 0.75y = 12.65.....Equation 2

Hence: we substitute 19 - y for x in Equation 2

0.55(19 - y) + 0.75y = 12.65

10.45 - 0.55y + 0.75y = 12.65

-0.55y+ 0.75y = 12.65 - 10.45

0.20y = 2.2

y = 2.2/0.20

y = 11 oranges

x = 19 - y

x = 19 - 11

x = 8 Apples