Question

Jennifer and Jasmine are selling fruit for a school fundraiser. Customers can buy small boxes of grapefruit and large boxes of grapefruit. Jennifer sold 8 small boxes of grapefruit and 14 large boxes of grapefruit for a total of $254. Jasmine sold 1 small box of grapefruit and 14 large boxes of grapefruit for a total of $191. How much does one small box of grapefruit cost?​

Answer 1

• Let small box be x and large box be y

Create equations

`\\ \tt\Rrightarrow 8x+14y=254--(1)`

`\\ \tt\Rrightarrow x+14y=191--(2)`

Substract eq(2) from eq(1)

`\\ \tt\Rrightarrow 7x=63`

`\\ \tt\Rrightarrow x=(63)/(7)`

`\\ \tt\Rrightarrow x=9`

Answer 2

• $9

Explanation:

• Small box = s
• Large box = l

Equations:

• 8s + 14l = 254
• s + 14l = 191

Subtract the second equation from the first:

• 8s - s = 254 - 191
• 7s = 63
• s = 9