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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)

Respuesta :

calculista

Answer:

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

Step-by-step 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

[tex]x+y=72[/tex] ----> equation A

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

[tex]\frac{x}{y}=\frac{5}{3}[/tex]

[tex]x=\frac{5}{3}y[/tex] ----> equation B

substitute equation B in equation A

[tex]\frac{5}{3}y+y=72[/tex]

[tex]\frac{8}{3}y=72\\\\y=72(3)/8\\\\y=27[/tex]

Find the value of x

[tex]x=\frac{5}{3}(27)=45[/tex]

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

[tex]0.50(45)+1.00(27)=\$49.50[/tex]

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