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:
B
Practice Set
Date:
1) Grades 3, 4, and 5 have their annual field day together. Each grade level is given 16
gallons of water. If there are a total of 350 students, will there be enough water for
each student to have 2 cups? Justify your answer with equations and a visual model.
2) Nolan’s car has a gas tank that can hold 12 gallons when full. Nolan put 2 gallons 3
quarts of gas into his car on Monday and twice as much on Tuesday. How close will
he be to filling his tank? Justify your answer with equations and a visual model.
3) A bucket has 7 ¼ gallons of water. It has 12 cups of water more than a smaller
bucket. If you combined the two buckets, what would the total volume be? 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
B
Practice Set
1) Grades 3, 4, and 5 have their annual field day together. Each grade level is given 16
gallons of water. If there are a total of 350 students, will there be enough water for
each student to have 2 cups? Justify your answer with equations and a visual model.
16 gallons x 16 cups = 256 cups per grade
256 cups x 3 = 768 cups
Number of people who can get 2 cups of water = P
768 cups ÷ 2 cups per person = P
768 ÷ 2 = 384
There will be enough water for each student to have 2 cups. There will even be
some water left over.
175 + 175 + 29
2) Nolan’s car has a gas tank that can hold 12 gallons when full. Nolan put 2 gallons 3
quarts of gas into his car on Monday and twice as much on Tuesday. How close will
he be to filling his tank? Justify your answer with equations and a visual model.
Gas tank when full = 12 gallons x 4 quarts = 48 quarts
Gas pumped on Monday = M
2 gallons x 4 quarts = 8 quarts
8 quarts + 3 quarts = 11 quarts
Gas pumped on Tuesday = T
11 quarts x 2 = T
22 quarts = T
Total gas = 33 quarts
Difference between gas level and a full tank = D
48 quarts - D = 33 quarts
48 quarts - 33 quarts = D
15 quarts = D
3) A bucket has 7 ¼ gallons of water. It has 12 cups of water more than a smaller
bucket. If you combined the two buckets, what would the total volume be? Justify your
answer with equations and a visual model.
Large bucket volume = L
7 ¼ gallons x 16 cups = L
116 cups = L
Small bucket volume = S
116 cups - 12 cups = S
104 cups = S
Volume of both buckets = V
L+S=V
116 cups + 104 cups = V
220 cups = V