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 5 to 20. How many cups of syrup should be added to 1 gallon of water to make the drink in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
One gallon of water is 16 cups. With a 5 to 20 ratio, 205=16x, so 20x=80 and x=4 cups of syrup.
Question 2easy
Windshield washer fluid is mixed with concentrate and water in a ratio of 7 to 56. How many cups of concentrate should be added to 3 gallons of water to make the fluid in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
Three gallons of water is 3×16=48 cups. With a 7 to 56 ratio, 567=48x, so 56x=336 and x=6 cups of concentrate.
Question 3easy
A fabric dye bath uses dye concentrate and water in a ratio of 4 to 32. How many cups of dye concentrate should be added to 2 gallons of water to make the bath in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
Two gallons of water is 32 cups. With a 4 to 32 ratio, 324=32x, so x=4 cups of dye concentrate.
Question 4easy
An engine coolant mixture uses antifreeze concentrate and water in a ratio of 8 to 64. How many cups of antifreeze concentrate should be added to 4 gallons of water to make the coolant in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
Four gallons of water is 4×16=64 cups. With an 8 to 64 ratio, 648=64x, so x=8 cups of antifreeze concentrate.
Question 5medium
An herbicide spray uses concentrate and water in a ratio of 6 to 24. How many cups of concentrate should be added to 2 quarts of water to make the spray in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
Two quarts of water is 2×4=8 cups. With a 6 to 24 ratio, 246=8x, so 24x=48 and x=2 cups of concentrate.
Question 6medium
A pool treatment uses chlorine concentrate and water in a ratio of 9 to 72. How many cups of chlorine concentrate should be added to 5 gallons of water to make the treatment in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
Five gallons of water is 5×16=80 cups. With a 9 to 72 ratio, 729=80x, so 72x=720 and x=10 cups of concentrate.
Question 7medium
A bubble solution uses soap concentrate and water in a ratio of 5 to 40. How many cups of soap concentrate should be added to 6 gallons of water to make the solution in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
Six gallons of water is 6×16=96 cups. With a 5 to 40 ratio, 405=96x, so 40x=480 and x=12 cups of concentrate.
Question 8medium
Iced tea is made with tea concentrate and water in a ratio of 3 to 12. How many cups of tea concentrate should be added to 3 quarts of water to make the tea in this ratio? (4 cups =1 quart, 4 quarts =1 gallon.)
Three quarts of water is 3×4=12 cups. With a 3 to 12 ratio, 123=12x, so x=3 cups of tea concentrate.
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