Question

The frosty Ice-Cream sells sundaes for 2$ and banana splits for 3$. The shop sold 8 more sundaes than banana splits and made 156$. How many sundaes and banana splits were sold?

Answer 1

36 sundaes and 28 banana splits were sold.

Step-by-step explanation:

Given,

Cost of one sundae = $2

Cost of one banana split = $3

Total made = $156

Let,

Number of sundaes sold = x

Number of banana splits sold = y

According to given statement;

2x+3y=156     Eqn 1

x=y+8             Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$2(y+8)+3y=156\\2y+16+3y=156\\5y=156-16\\5y=140$

Dividing both sides by 5

$\frac{5y}{5}=\frac{140}{5}\\y=28$

Putting y=28 in Eqn 2

$x=28+8\\x=36$

36 sundaes and 28 banana splits were sold.

Keywords: linear equation variable

Learn more about variables at:

• brainly.com/question/1836777
• brainly.com/question/1859222

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