For each of the following word problems, write the corresponding numerical division problem, state which interpretation of division is involved ( the how-many-groups or the how-many-units-in-1-group) and solve the problem: a) If 252 rolls are to be put in packages of 12, then how many packages of rolls can be made? b) If you have 506 stickers to give out equally to 23 children, then how many stickers will each child get? c) Given that 1 gallon is 8 pints, how many gallons of water are 48 pints of water? d) If your car used 12 gallons of gasoline to drive 360 miles, then how many miles per gallon did your car get? e) If you drove 177 miles at a constant speed and if it took you 3 hours, then how fast were you going? f) Given that 1 foot is 12 inches, how many feet long is an 84-inch-long board?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
For each of the following word problems, write the corresponding numerical division problem, state which interpretation of division is involved ( the how-many-groups or the how-many-units-in-1-group) and solve the problem:
a) If 252 rolls are to be put in packages of 12, then how many packages of rolls can be made?
b) If you have 506 stickers to give out equally to 23 children, then how many stickers will each child get?
c) Given that 1 gallon is 8 pints, how many gallons of water are 48 pints of water?
d) If your car used 12 gallons of gasoline to drive 360 miles, then how many miles per gallon did your car get?
e) If you drove 177 miles at a constant speed and if it took you 3 hours, then how fast were you going?
f) Given that 1 foot is 12 inches, how many feet long is an 84-inch-long board?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
