Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 3 Lesson 3.13 Problem Solving regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 3 Lesson 3.13 Problem Solving Answers Key
Solve each problem.
Question 1.
Fred bought 7 games on clearance for $104.65. Each game was on sale for the same price. How much did each game cost?
Each game cost _____.
Answer:
The above-given:
The total number of games= 7
The cost of the games = $104.65
The cost of each game = x
x = cost of games/total number of games.
x = 104.65/7
x = 14.95
Therefore, the cost of each game is $14.95
Question 2.
Gas costs $1.64 a gallon. Elaine spent $23.78 at the gas station. How many gallons of gas did she buy?
Elaine bought _____ gallons of gas.
Answer:
The above-given:
The cost of gas = $1.64
The amount Elaine spent at the gas station = $23.78
The number of gallons of gas she buys = g
g = amount spent/cost of gas
g = 23.78/1.64
g = 14.5
Therefore, he bought 14.5 gallons of gas.
Question 3.
There are 2.5 servings in a can of tuna fish. How many servings are there in 7 cans?
There are _______________ servings in 7 cans.
Answer:
The above-given:
The number of servings in a can = 2.5
The number of servings in 7 cans = f
for 1 can 2.5 servings
for 7 cans f servings
Let’s cross-multiply
f x 1 = 2.5 x 7
f = 17.5
Therefore, in 7 cans we can serve 17.5 servings.
Question 4.
A grain distributor can process 14.6 tons of grain an hour. How much can the distributor process in 8.75 hours?
The distributor can process _________________ tons of grain.
Answer:
The above-given:
The number of tons of grains that can process in an hour = 14.6
The number of tons of grains that can be processed in 8.75 hours = t
for 1 hour, 14.6 tons
for 8.75 hours, t tons
Let’s cross-multiply
t x 1 = 8.75 x 14.6
t = 127.75
Therefore, the distributor can process 127.75 tons of grains.
Question 5.
Rhonda earned $324.65 for delivering newspapers. She promised her sister 0.2 of her earnings for helping her. How much does Rhonda owe her sister?
Rhonda owes her sister ____.
Answer:
The above-given:
The amount Rhonda earned for delivering newspapers = $324.65
Here, 0.2 of her earnings will be for her sister. Let it be x.
x = 324.65 * 0.2
x = 64.93
{ here we just want to find 20% of 324.65. All we have to do is multiply the amount of money by the percent in this case, the decimal of 0.2}
Question 6.
A car traveled 48.36 miles ¡n one hour. What was its average speed per minute?
Its average speed was _____________ miles per minute.
Answer:
The above-given:
The number of miles a car travelled in one hour = 48.36
the average speed per minute = s
we know that 1 hour = 60 minutes
s = 48.36/60
s = 0.806
Therefore, the average speed is 0.806 miles per minute.
Question 7.
There are 5.28 cups of pudding to be put into 6 dishes. How much pudding should be put into each dish to make them equal?
Each dish should get ____ cups of pudding.
Answer:
The above-given:
The number of cups of pudding = 5.28
The number of dishes = 6
The number of cups of pudding each dish gets = p
p = 5.28/6
p = 0.88
Therefore, each dish gets 0.88 cups of pudding