7. The ratio of black cars to silver cars in a parking lot is 7:4. If there is a DIFFERENCE of 12 more black cars than silver cars in the parking lot, then how many black cars and silver cars are in the parking lot? Show a tape diagram to support your answer.

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rspill6 rspill6 · Answer 1 · 2021-10-13T23:40:23+02:00

Answer:

Step-by-step explanation:

Let B be the number of black cars and S the number of silver.

We know that B/S = 7/4

We also know that B - S = 12

Rearrange the first: B = 7S/4

B - S = 12

7S/4 - S = 12

7S - 4S = 48

3S = 48

S = 16

B/S = 7/4

B/16 = 7/4

4B = 112

B = 28

B + S = 44 cars

I can't add the tape diagram here, but show two ribbons (tapes) for each car color and drawn so one can see the relative numbers of each.

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