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Please Help ASAP!!! Last question!
Initially, the ratio of Alex's toy cars to Pete's toy cars was 7:3. After Alex gave 20 toy cars to Pete, they each had an equal number of cars. how many toy cars did they have altogether?

Respuesta :

wegnerkolmp2741o

Answer:

100 cars

Step-by-step explanation:

Alex: Pete

7:        3

Multiply by x to get the number of cars

Alex  has 7x cars

Pete has 3x cars

Now Alex gives pete 20

Alex has 7x-20

Pete has 3x+20

They have the same number of cars so set the expressions equal

7x-20 = 3x+20

Subtract 3x from each side

7x-20-3x = 3x+20-3x

4x-20 = 20

Add 20 to each side

4x-20+20 = 20+20

4x= 40

Divide by 4

4x/4 = 40/4

x = 10

Alex had 7x = 7*10 = 70 to start

Pete had 3x = 3*10 = 30 to start

Together 70+30 = 100 cars

Jollibee8700

Answer:

100 cars

Step-by-step explanation:

Alex: Pete

7:        3

Multiply by x to get the number of cars

Alex  has 7x cars

Pete has 3x cars

Now Alex gives pete 20

Alex has 7x-20

Pete has 3x+20

They have the same number of cars so set the expressions equal

7x-20 = 3x+20

Subtract 3x from each side

7x-20-3x = 3x+20-3x

4x-20 = 20

Add 20 to each side

4x-20+20 = 20+20

4x= 40

Divide by 4

4x/4 = 40/4

x = 10

Alex had 7x = 7*10 = 70 to start

Pete had 3x = 3*10 = 30 to start

Together 70+30 = 100 cars

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