Question
Match the following equation to the correct situation.
60%(b + $15.00) = 60%(b) + $9.00
A.
Summer paid $9.00 more than 60% of b.
B.
A school received a donation that was 60% more than $9.00.
C.
Shawn owed 60% of his tuition bill, b, after paying $9.00.
D.
The cost for a coat was 60% of the sum of b and $9.00.
60%(b + $15.00) = 60%(b) + $9.00
A.
Summer paid $9.00 more than 60% of b.
B.
A school received a donation that was 60% more than $9.00.
C.
Shawn owed 60% of his tuition bill, b, after paying $9.00.
D.
The cost for a coat was 60% of the sum of b and $9.00.
Answers
GPT-4o mini
The equation \(60\%(b + \$15.00) = 60\%(b) + \$9.00\) can be matched to:
**D. The cost for a coat was 60% of the sum of b and $9.00.**
Here's the reasoning:
- The left side of the equation, \(60\%(b + \$15.00)\), represents 60% of a total (which includes \(b\) plus an additional $15.00).
- The right side, \(60\%(b) + \$9.00\), represents 60% of \(b\) plus an additional $9.00.
- The equation thus indicates that ignoring the additional $15.00 results in the coat costing an additional $9.00, which aligns with the description in option D.
Let's check the other options:
- **A:** This option doesn't match as it describes the relationship without the $15.00.
- **B:** This option implies a total donation rather than a calculation based on tuition.
- **C:** This suggests a situation after payment, which does not align with the structure of the equation.
Thus, the best match is option **D**.
**D. The cost for a coat was 60% of the sum of b and $9.00.**
Here's the reasoning:
- The left side of the equation, \(60\%(b + \$15.00)\), represents 60% of a total (which includes \(b\) plus an additional $15.00).
- The right side, \(60\%(b) + \$9.00\), represents 60% of \(b\) plus an additional $9.00.
- The equation thus indicates that ignoring the additional $15.00 results in the coat costing an additional $9.00, which aligns with the description in option D.
Let's check the other options:
- **A:** This option doesn't match as it describes the relationship without the $15.00.
- **B:** This option implies a total donation rather than a calculation based on tuition.
- **C:** This suggests a situation after payment, which does not align with the structure of the equation.
Thus, the best match is option **D**.