Shopping While shopping for​ clothes, Daniel spent ​$55 less than 3 times what Curtis spent. Daniel spent ​$41. Write and solve an equation to find how much Curtis spent. Let x represent how much Curtis spent.

Question

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Part 1
The equation that can be used to determine how much Curtis has spent is
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3
41
55
xminus
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3
55
41
equals
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3
55
41
.

Answer 1

To solve for how much Curtis spent, we begin with the relationship given in the problem:

Daniel spent $55 less than 3 times what Curtis spent. We denote how much Curtis spent as \( x \).

The relationship can be expressed with the following equation:

\[ 3x - 55 = 41 \]

Here's how we arrived at that:

• \( 3x \) represents three times what Curtis spent.
• \( 3x - 55 \) represents the amount Daniel spent, which is $55 less than that.
• We know that Daniel spent $41, so we set up the equation \( 3x - 55 = 41 \).

Now, let's solve the equation for \( x \):

1. Add 55 to both sides: \[ 3x - 55 + 55 = 41 + 55 \] \[ 3x = 96 \]

2. Divide both sides by 3: \[ x = \frac{96}{3} \] \[ x = 32 \]

Conclusion:

Curtis spent $32.

Final equation:

The equation we used to determine how much Curtis spent is: \[ 3x - 55 = 41 \]