Grade 7 · Fractions & ratios

Fluid concentration ratios practice

Fluid concentration ratios is a grade 7 math skill aligned to Common Core standard 7.RP.A.1. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 fluid concentration ratios problems our math games drill.

CCSS 7.RP.A.110 questions in the bank
Sample questions

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Question 1easy

A sports drink is made with syrup and water in a ratio of 55 to 2020. How many cups of syrup should be added to 11 gallon of water to make the drink in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

One gallon of water is 1616 cups. With a 55 to 2020 ratio, 520=x16\dfrac{5}{20} = \dfrac{x}{16}, so 20x=8020x = 80 and x=4x = 4 cups of syrup.

Question 2easy

Windshield washer fluid is mixed with concentrate and water in a ratio of 77 to 5656. How many cups of concentrate should be added to 33 gallons of water to make the fluid in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Three gallons of water is 3×16=483 \times 16 = 48 cups. With a 77 to 5656 ratio, 756=x48\dfrac{7}{56} = \dfrac{x}{48}, so 56x=33656x = 336 and x=6x = 6 cups of concentrate.

Question 3easy

A fabric dye bath uses dye concentrate and water in a ratio of 44 to 3232. How many cups of dye concentrate should be added to 22 gallons of water to make the bath in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Two gallons of water is 3232 cups. With a 44 to 3232 ratio, 432=x32\dfrac{4}{32} = \dfrac{x}{32}, so x=4x = 4 cups of dye concentrate.

Question 4easy

An engine coolant mixture uses antifreeze concentrate and water in a ratio of 88 to 6464. How many cups of antifreeze concentrate should be added to 44 gallons of water to make the coolant in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Four gallons of water is 4×16=644 \times 16 = 64 cups. With an 88 to 6464 ratio, 864=x64\dfrac{8}{64} = \dfrac{x}{64}, so x=8x = 8 cups of antifreeze concentrate.

Question 5medium

An herbicide spray uses concentrate and water in a ratio of 66 to 2424. How many cups of concentrate should be added to 22 quarts of water to make the spray in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Two quarts of water is 2×4=82 \times 4 = 8 cups. With a 66 to 2424 ratio, 624=x8\dfrac{6}{24} = \dfrac{x}{8}, so 24x=4824x = 48 and x=2x = 2 cups of concentrate.

Question 6medium

A pool treatment uses chlorine concentrate and water in a ratio of 99 to 7272. How many cups of chlorine concentrate should be added to 55 gallons of water to make the treatment in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Five gallons of water is 5×16=805 \times 16 = 80 cups. With a 99 to 7272 ratio, 972=x80\dfrac{9}{72} = \dfrac{x}{80}, so 72x=72072x = 720 and x=10x = 10 cups of concentrate.

Question 7medium

A bubble solution uses soap concentrate and water in a ratio of 55 to 4040. How many cups of soap concentrate should be added to 66 gallons of water to make the solution in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Six gallons of water is 6×16=966 \times 16 = 96 cups. With a 55 to 4040 ratio, 540=x96\dfrac{5}{40} = \dfrac{x}{96}, so 40x=48040x = 480 and x=12x = 12 cups of concentrate.

Question 8medium

Iced tea is made with tea concentrate and water in a ratio of 33 to 1212. How many cups of tea concentrate should be added to 33 quarts of water to make the tea in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Three quarts of water is 3×4=123 \times 4 = 12 cups. With a 33 to 1212 ratio, 312=x12\dfrac{3}{12} = \dfrac{x}{12}, so x=3x = 3 cups of tea concentrate.

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