The chart below shows how many cups of lemonade Marcia sold each hour she had her lemonade stand set up. To make 10 cups of lemonade, Marcia has to squeeze 3 lemons. How many lemons did Marcia use in the first 4 hours?

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MrRoyal MrRoyal · Answer 1 · 2021-01-16T14:55:32+01:00

Answer:

[tex]123\frac{1}{3}\ cups[/tex]

Step-by-step explanation:

Given

[tex]10\ cups = 3\ lemons[/tex]

See attachment for chart

Required:

Lemons used in first 4 hours

First, we calculate the number of lemon sold in the first 4 hours.

[tex]Lemon = 6 + 5 + 11 + 15[/tex]

[tex]Lemon= 37[/tex]

Represent the number of cups of lemonades needed with x

So, we have:

[tex]x = 37\ lemons[/tex]

and

[tex]10\ cups = 3\ lemons[/tex]

Cross Multiply:

[tex]x * 3 = 10 * 37[/tex]

[tex]3x = 370[/tex]

Make x the subject

[tex]\frac{3x}{3} = \frac{370}{3}[/tex]

[tex]x = \frac{370}{3}[/tex]

[tex]x = 123\frac{1}{3}[/tex] cups