Layla and Aidan are selling cases of drinks for a fund raiser. Customers can by either fruit punch or lemonade. Aidan sold 6 cas

Question

3 years ago

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Layla and Aidan are selling cases of drinks for a fund raiser. Customers can by either fruit punch or lemonade. Aidan sold 6 cas

es of fruit punch and 4 cases of lemonade for a total of $80. Layla sold 6 cases of fruit punch and 5 cases of lemonade for $94. How much is a case of lemonade and how much is a case of fruit punch

Mathematics

1 answer:

SSSSS [86.1K] · Answer 1 · 2022-09-17T07:18:26+03:00

A case of lemonade cost $14 and a case of fruit punch cost $4.

Step-by-step explanation:

Let,

A case of fruit punch = x

A case of lemonade = y

According to given statement;

6x+4y=80 Eqn 1

6x+5y=94 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(6x+5y)-(6x+4y)=94-80\\6x+5y-6x-4y=14\\y=14$

Putting y=14 in Eqn 1

$6x+4(14)=80\\6x+56=80\\6x=80-56\\6x=24$

Dividing both sides by 6

$\frac{6x}{6}=\frac{24}{6}\\x=4$

A case of lemonade cost $14 and a case of fruit punch cost $4.

Keywords: Linear equation, Subtraction

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