Apply knowledge of unit conversions in order to solve multi-step problems
involving liquid volume in the metric system using visual models and equations.
Name:
C
Practice Set
Date:
1. One rain barrel held 6 liters 868 milliliters of water. A second barrel held 2,089
milliliters more water than the first. A third barrel held 4 liters 82 milliliters less water
than the second. Ruben wants to evenly distribute the rainwater into 3 liter tanks to
transport the water. How many tanks will he need to transport all the water? Justify
your answer with equations and a visual model.
2. Miguel likes to bring a small camp stove with him when he goes camping. The fuel
bottle for the stove has a maximum capacity of 5 liters, and it is filled with 1 ½ liter of
fuel when he checks it in May. In June, he adds 2,300 milliliters before a big backpacking
trip. He uses 2 liters on his trip. After the trip, he goes to the outdoors store and has to
choose between two different prices for refueling:
30 centiliters for $2
2 deciliters for 75¢
Which would be a better deal for him to completely fill his bottle? Justify your answer
with a visual model and words.
Apply knowledge of unit conversions in order to solve multi-step problems
involving liquid volume in the metric system using visual models and equations.
ANSWER KEY
Practice Set C
1. One rain barrel held 6 liters 868 milliliters of water. A second barrel held 2,089
milliliters more water than the first. A third barrel held 4 liters 82 milliliters less water
than the second. Ruben wants to evenly distribute the rainwater into 3 liter tanks to
transport the water. How many tanks will he need to transport all the water? Justify
your answer with equations and a visual model.
Total amount of water = W
1) 6,868 mL
2) 6,868 mL + 2,089 mL = 8,957 mL
3) 8,957 mL - 4,082 mL = 4,875 mL
6,868 mL + 8,957 mL + 4,875 mL = W
20,700 mL = W
Ruben will need 7 tanks to hold all of his water.
2. Miguel likes to bring a small camp stove with him when he goes camping. The fuel
bottle for the stove has a maximum capacity of 5 liters, and it is filled with 1 ½ liter of
fuel when he checks it in May. In June, he adds 2,300 milliliters before a big backpacking
trip. He uses 2 liters on his trip. After the trip, he goes to the outdoors store and has to
choose between two different prices for refueling:
30 centiliters for $2 = 300 mL
2 deciliters for 75¢ = 200 mL
Which would be a better deal for him to completely fill his bottle? Justify your answer
with a visual model and words.
Fuel after his camping trip = F
1,500 mL + 2,300 mL - 2,000 mL = F
1,800 mL = F
Amount of fuel required to fill his bottle = B
1,800 mL + B = 5,000 mL
5,000 mL - 1,800 mL = B
3,200 mL = B
It’s a better deal for Miguel to buy the 2 deciliter bottle for 75¢ each. He will
need 16 bottles and it will cost him 1,200¢.
If he bought the 30 centiliter bottle, he would have to buy 11 bottles, and this
would cost him $22, which is equal to 2,200¢.