Question
Georgie's toy car collection consists of modern and classic cars. He has four times as many classic cars as he cars. If he has 320 total cars in his collection, how many modern cars does he have?
Asked by: USER8536
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195 Answers
Answer (195)
Use a system of equations to solve this problem. Let "x" represent the number of classic cars, and "c" represent the number of cars.
320 = x + c
x = 4c
In this case, it'll be easiest to use the substitution method to solve the system of equations.
320 = (4c) + c
320 = 5c
Now solve for "c":
320/5 = c
c = 64
Since you now know there are 64 regular cars, you can subtract that from the total amount for the number of classic cars.
320 - 64 = 256
There are 256 classic cars.
To check the answer, multiply 64 by 4 and make sure it equals 256.
64 x 4 = 256
320 = x + c
x = 4c
In this case, it'll be easiest to use the substitution method to solve the system of equations.
320 = (4c) + c
320 = 5c
Now solve for "c":
320/5 = c
c = 64
Since you now know there are 64 regular cars, you can subtract that from the total amount for the number of classic cars.
320 - 64 = 256
There are 256 classic cars.
To check the answer, multiply 64 by 4 and make sure it equals 256.
64 x 4 = 256