Match the following equation to the correct situation.

7g - g = 6g
A.
The number of gallons of gasoline left in a car when one gallon more than 7 has been used.

B.
The number of bags of grapes left in the fruit drawer after taking out one of 7 bags of grapes.

C.
The number of loads left in a garbage truck after one load has been dumped from 6 loads.

D.
The number of girls in a caravan of cars when one more car with 7 girls is added to the caravan.

1 answer

To match the equation \( 7g - g = 6g \) to the correct situation, we analyze the equation:

  1. \( 7g \) represents the total amount before taking one away.
  2. \( -g \) represents taking away one unit.
  3. The result \( 6g \) is what remains after taking one unit away.

Now let's analyze each option:

A. The number of gallons of gasoline left in a car when one gallon more than 7 has been used.

  • This doesn't match because the equation doesn't reference "more than 7".

B. The number of bags of grapes left in the fruit drawer after taking out one of 7 bags of grapes.

  • This matches because if you have 7 bags and you take out 1, you have \( 7 - 1 = 6 \) bags left. So it aligns with \( 7g - g = 6g \).

C. The number of loads left in a garbage truck after one load has been dumped from 6 loads.

  • This doesn't match because you would start with 6, and if you dump one, you'd have 5 left, which doesn't relate to \( 6g \).

D. The number of girls in a caravan of cars when one more car with 7 girls is added to the caravan.

  • This describes adding rather than taking away.

Based on this analysis, the correct match for the equation \( 7g - g = 6g \) is:

B. The number of bags of grapes left in the fruit drawer after taking out one of 7 bags of grapes.

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