Shopping While shopping for​ clothes, Tracy spent ​$45 less than 3 times what Curtis spent. Tracy spent ​$33. 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
▼
3
33
45
xminus
▼
3
45
33
equals
▼
33
45
3
.

Answer 1

To set up the equation, we know the relationship between what Tracy and Curtis spent based on the information given.

1. Tracy spent $33.
2. According to the problem, Tracy spent $45 less than 3 times what Curtis spent.

This can be expressed with the equation:

\[ 3x - 45 = 33 \]

where \( x \) represents how much Curtis spent.

Solve for \( x \):

1. Add 45 to both sides: \[ 3x - 45 + 45 = 33 + 45 \] \[ 3x = 78 \]

2. Divide both sides by 3: \[ x = \frac{78}{3} \] \[ x = 26 \]

So, Curtis spent $26.