Apply knowledge of unit conversions in order to solve multi-step problems
involving liquid volume in the standard system using visual models and
equations.
Name:
A
Practice Set
Date:
1) Four 5th grade classes have their annual field day together. They are given 9 gallons
of water to share. If there are a total of 115 students, will there be enough water for
each student to have 2 cups? If there isn’t, how many more cups do we need? Justify
your answer with equations and a visual model.
2) Nolan put 7 gallons 3 quarts of gas into his car on Monday and twice as much on
Saturday. What was the total amount of gas put into the car on both days? Justify
your answer with equations and a visual model.
3) A bucket has 7 ½ quarts of water. It has 12 cups of water more than a smaller
bucket. How much water is in the smaller bucket? Justify your answer with equations
and a visual model.
Apply knowledge of unit conversions in order to solve multi-step problems
involving liquid volume in the standard system using visual models and
equations.
Answer Key
A
Practice Set
1. Four 5th grade classes have their annual field day together. They are given 9 gallons
of water to share. If there are a total of 115 students, will there be enough water for
each student to have 2 cups? If there isn’t, how many more cups do we need? Justify
your answer with equations and a visual model.
9 gallons of water x 16 cups per gallon = 144 cups
Amount of water need for every student to get 2 cups = W
115 x 2 cups = W
230 cups = W
water that we need = N
144 cups + N = 230 cups
230 cups - 144 cups = N
86 cups = N
No, there are not enough cups of water for everyone to have 2 cups of water.
The classes would need 86 more cups of water in order to give everyone 2
cups.
2. Nolan put 7 gallons 3 quarts of gas into his car on Monday and twice as much on
Saturday. What was the total amount of gas put into the car on both days? Justify
your answer with equations and a visual model.
Gas on Monday = M
7 gallons x 4 quarts = 28 quarts
28 quarts + 3 quarts = M
31 quarts = M
Gas on Tuesday = T
31 quarts x 2 = T
62 quarts = T
Total amount of gas = G
31 quarts + 62 quarts = G
93 quarts = G
3) A bucket has 7 ½ quarts of water. It has 12 cups of water more than a smaller
bucket. How much water is in the smaller bucket? Justify your answer with equations
and a visual model.
Large bucket volume = L
7 ½ gallons x 4 cups = L
30 cups = L
Small bucket volume = S
30 cups - 12 cups = S
18 cups = S