Question

Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39. What equation can be used to find n?

A
5+24n=39


B
5n+24=39


C
(24+5)n=39


D
245+n=39


(b)

Part B
Using the information in PART A, how many pairs of socks can Rebecca buy?

Answer 1

To set up the equation for Rebecca's total purchase, we need to consider the following:

1. The cost of a pair of socks is $5, and if she buys \( n \) pairs, then the cost of socks is \( 5n \).
2. The cost of each t-shirt is $12, and she buys 2 t-shirts, giving a total cost for t-shirts of \( 2 \times 12 = 24 \).

The total cost equation becomes:
\[ 5n + 24 = 39 \]

So the correct answer for Part A is **B: \( 5n + 24 = 39 \)**.

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For Part B, we can now solve the equation \( 5n + 24 = 39 \) for \( n \):

1. Subtract 24 from both sides:
\[ 5n = 39 - 24 \]
\[ 5n = 15 \]

2. Divide both sides by 5:
\[ n = \frac{15}{5} \]
\[ n = 3 \]

Thus, Rebecca can buy **3 pairs of socks**.