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At Dorothy's Hair Salon, $4$ gallons of shampoo will last $3$ weeks. She has $7$ gallons of shampoo. How much more must she order if she wants to have enough for $12$ weeks?

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Solve proportions: word problems

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Q. At Dorothy's Hair Salon,

4

gallons of shampoo will last

3

weeks. She has

7

gallons of shampoo. How much more must she order if she wants to have enough for

12

weeks?

Calculate Weekly Usage: First, we need to determine how many gallons of shampoo are used per week at Dorothy's Hair Salon. $\newline$ Calculation: $4$ gallons for $3$ weeks means that the salon uses $\frac{4}{3}$ gallons per week. $\newline$ Math error check:
Calculate Total for $12$ Weeks: Next, we calculate how many gallons are needed for $12$ weeks. $\newline$ Calculation: $\frac{4}{3}$ gallons/week $*$ $12$ weeks = $16$ gallons needed for $12$ weeks. $\newline$ Math error check:
Determine Additional Order: Now, we need to find out how much more shampoo Dorothy needs to order, given that she already has $7$ gallons. $\newline$ Calculation: $16$ gallons needed $-$ $7$ gallons on hand $=$ $9$ gallons to order. $\newline$ Math error check:

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