Question

a cleaning solution is made of vinegar and water.
complete the table below to show the amounts of each ingredient and the total amount of cleaning solution (in cups). the ratio between the amounts of vinegar and water should remain the same for different amounts of cleaning solution.

amount of vinegar (cups)

amount of water (cups)

total amount of cleaning solution (cups)

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6

8.5

30

20

Explanation:

Step1: Find vinegar-water ratio

From first row: Let vinegar = $v$, water = $6$, total = $8.5$.
$v = 8.5 - 6 = 2.5$. Ratio $\frac{v}{w} = \frac{2.5}{6} = \frac{5}{12}$

Step2: Calculate 2nd row vinegar

Water = 30, use ratio $\frac{v}{30} = \frac{5}{12}$
$v = 30 \times \frac{5}{12} = 12.5$
Total = $12.5 + 30 = 42.5$

Step3: Calculate 3rd row water

Vinegar = 20, use ratio $\frac{20}{w} = \frac{5}{12}$
$w = 20 \times \frac{12}{5} = 48$
Total = $20 + 48 = 68$

Answer:

Amount of vinegar (cups)	Amount of water (cups)	Total amount of cleaning solution (cups)
12.5	30	42.5
20	48	68