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qwelly [4]
3 years ago
14

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 3

20 total cars in his collection, how many modern cars does he have?
Mathematics
1 answer:
White raven [17]3 years ago
4 0
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
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Answer:

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__________________

Note that all of these are questions can be answered through isolating the variable.

Let's start with x :

Get x alone :

2(x + 5) = 3x + 1

Distribute :

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Subtract 2x from both sides :

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Next is y :

Isolate y :

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Add 4 to both sides :

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Add 2y to both sides :

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Divide 5 from both sides to get y by itself :

y = 2

Lastly is n :

Isolate n :

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Distribute :

(3(n) + 3(2)) = (9(6) - 9(n))

3n + 6 = 54 - 9n

Subtract 54 from both sides :

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Subtract 3n from both sides :

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Rudiy27
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(apologies in advance for foematring. I'm on mobile)

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