Question

A lemonade stand sells drinks in two sizes, small and medium. In the span of 1 hour, the stand sold 72 drinks. The ratio of small drinks to medium drinks sold was 5:3. If small drinks cost $0.50 and medium drinks cost $1.00, how much total money did the lemonade stand take in? (Please answer)

Answer 1

The total amount of money received at the lemonade stand was $49.50

Explanation:

Let

x ---> the number of small drinks sold

y ---> the number of medium drinks sold

we know that

The stand sold 72 drinks

so

`x+y=72` ----> equation A

The ratio of small drinks to medium drinks sold was 5:3

`(x)/(y)=(5)/(3)`

`x=(5)/(3)y` ----> equation B

substitute equation B in equation A

`(5)/(3)y+y=72`

`(8)/(3)y=72\\\\y=72(3)/8\\\\y=27`

Find the value of x

`x=(5)/(3)(27)=45`

Find out the total amount of money received at the lemonade stand

`0.50(45)+1.00(27)=\$49.50`