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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?​

Sagot :

Mhanifaid

Answer:

  • $9

Step-by-step 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
  • Let small box be x and large box be y

Create equations

[tex]\\ \tt\Rrightarrow 8x+14y=254--(1)[/tex]

[tex]\\ \tt\Rrightarrow x+14y=191--(2)[/tex]

Substract eq(2) from eq(1)

[tex]\\ \tt\Rrightarrow 7x=63[/tex]

[tex]\\ \tt\Rrightarrow x=\dfrac{63}{7}[/tex]

[tex]\\ \tt\Rrightarrow x=9[/tex]

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