Question
Four friends ate lunch and spent a total of $41.28. They each bought the same meal for $8.32, and they each bought the same dessert.
Write and solve an equation to determine the cost of the dessert, d.
4(8.32 + d) = 41.28; d = 2.00
4(8.32) + d = 41.28; d = 8.00
4(8.32)d = 41.28; d = 1.24
4d + 8.32 = 41.28; d = 8.24
Write and solve an equation to determine the cost of the dessert, d.
4(8.32 + d) = 41.28; d = 2.00
4(8.32) + d = 41.28; d = 8.00
4(8.32)d = 41.28; d = 1.24
4d + 8.32 = 41.28; d = 8.24
Answers
GPT-4o mini
To find the cost of the dessert \( d \) that each friend bought, we need to set up the equation correctly based on the total spent.
Each friend bought a meal for \( 8.32 \) and a dessert for \( d \). Since there are 4 friends, this can be expressed as:
\[
4(8.32 + d) = 41.28
\]
Now, let's solve this equation step by step.
1. Distribute the 4 inside the parentheses:
\[
4 \times 8.32 + 4 \times d = 41.28
\]
\[
33.28 + 4d = 41.28
\]
2. Now, subtract \( 33.28 \) from both sides to isolate the term with \( d \):
\[
4d = 41.28 - 33.28
\]
\[
4d = 8
\]
3. Finally, divide both sides by 4 to solve for \( d \):
\[
d = \frac{8}{4} = 2.00
\]
Hence, the cost of the dessert \( d \) is \( 2.00 \). The correct equation and answer is:
\[
\text{4}(8.32 + d) = 41.28; \ d = 2.00
\]
Each friend bought a meal for \( 8.32 \) and a dessert for \( d \). Since there are 4 friends, this can be expressed as:
\[
4(8.32 + d) = 41.28
\]
Now, let's solve this equation step by step.
1. Distribute the 4 inside the parentheses:
\[
4 \times 8.32 + 4 \times d = 41.28
\]
\[
33.28 + 4d = 41.28
\]
2. Now, subtract \( 33.28 \) from both sides to isolate the term with \( d \):
\[
4d = 41.28 - 33.28
\]
\[
4d = 8
\]
3. Finally, divide both sides by 4 to solve for \( d \):
\[
d = \frac{8}{4} = 2.00
\]
Hence, the cost of the dessert \( d \) is \( 2.00 \). The correct equation and answer is:
\[
\text{4}(8.32 + d) = 41.28; \ d = 2.00
\]