Question

(PLEASE HELP QUICKLY) Aiden and his children went into a grocery store and he bought $14 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. He bought a total of 14 apples and bananas altogether. By following the steps below, determine the number of apples, x, and the number of bananas, y, that Aiden bought.

Determine three ways to have a total of 14 apples and bananas

Answer 1

Answer: 4 apples and 10 bananas

Explanation:

Consider: a=apple, b=bananas

1) a + b = 14 // 14 total of apples and bananas

a = 14 - b

2) 1.75a + 0.70b = $14 // $14 worth of apple and bananas

3) Substituting 1) in 2):

1.75(14 - b) + 0.70b = 14

24.5 - 1.75b + 0.70b = 14

b = 10.5 / 1.05

b = 10

4) Substituting 3) in 1):

a = 14 - 10

a = 4

Answer 2

6 apples and 5 bananas

Explanation:

x + y = 11

x = 11 - y

1.75x + 0.70y = 14

1.75(11 - y) + 0.7y = 14

19.25 - 1.75y + 0.7y = 14

5.25 = 1.05y

y = 5

x = 11 - 5 = 6