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Given Angelo and Grace's furniture sales on Thursday, which statement is TRUE?

a. Angelo made $2.75 more than Grace.
b. Grace made $2.75 more than Angelo.
c. Grace made $7.75 more than Angelo.
d. Angelo made $7.75 more than Grace.

1 Answer

2 votes

Final Answer:

Grace made $7.75 more than Angelo on Thursday. This conclusion is supported by the equation G = A + $7.75, which accurately represents the given information and eliminates other possibilities, such as Angelo making $2.75 more than Grace.Thus,the correct option is c.

Step-by-step explanation:

Let's denote Angelo's sales as A and Grace's sales as G. The question states a comparison between Angelo and Grace's sales on Thursday. According to option c, Grace made $7.75 more than Angelo, which can be expressed as G = A + $7.75.

To verify this, we can also consider the possibility that Angelo made $2.75 more than Grace (option a). In that case, the relationship would be A = G + $2.75. However, substituting this into the first equation (G = A + $7.75) yields G = (G + $2.75) + $7.75. Simplifying, we find G = G + $10.50, which is not possible, indicating that option a is false.

Therefore, the correct relationship is G = A + $7.75, confirming that Grace made $7.75 more than Angelo. This means that if we take Angelo's sales and add $7.75, we will get Grace's sales. The difference between their sales is indeed $7.75, supporting the correctness of option c.

In summary, the final answer is c. Grace made $7.75 more than Angelo. The explanation involves setting up equations based on the given options, demonstrating why option c is the only valid relationship between Angelo and Grace's sales.

Therefore,the correct option is c.

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