While shopping for​ clothes, Daniel spent ​$27 less than 2 times what Tracy spent. Daniel spent ​$11. Write and solve an equation to find how much Tracy spent. Let x represent how much Tracy spent.

Question

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Part 1
The equation that can be used to determine how much Tracy has spent is
▼
11
27
2
xminus
▼
27
2
11
equals
▼
11
2
27
.

Answer 1

Let \( x \) represent how much Tracy spent. According to the problem, Daniel spent $27 less than 2 times what Tracy spent, and Daniel spent $11.

We can set up the equation based on the description:

\[ 11 = 2x - 27 \]

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

1. Add 27 to both sides of the equation:

\[ 11 + 27 = 2x \]

\[ 38 = 2x \]

2. Divide both sides by 2:

\[ x = \frac{38}{2} \]

\[ x = 19 \]

Thus, Tracy spent $19.