Question

Camron, Ty, and Jack are buying some basketball gear for the upcoming season. They each need to buy 4 pairs of socks, 2 pairs of shorts, and 3 jerseys.

Part 1: Show how to set up an algebraic expression that represents all 3 boys buying their basketball gear. Use k for socks, s for shorts, and j for jerseys.




(2 points)
0 / 10000 Word Limit
Question 2
The socks cost $5 a pair, the shorts cost $26 each, and the jerseys cost $42 each.

Part 2: Evaluate and solve to find out how much Camron's, Ty's, and Jack's basketball gear will cost altogether. Show ALL of your steps!

Answer 1

### Part 1: Setting Up the Algebraic Expression

Each of the three boys (Camron, Ty, and Jack) needs the following gear:
- 4 pairs of socks
- 2 pairs of shorts
- 3 jerseys

We can represent the number of items needed using the following variables:
- \( k \) for socks
- \( s \) for shorts
- \( j \) for jerseys

Since each boy needs the same amount of each item, we can set up expressions for the total number of items needed by all three boys as follows:

\[
\text{Total socks} = 3 \times k = 3 \times 4 = 12
\]
\[
\text{Total shorts} = 3 \times s = 3 \times 2 = 6
\]
\[
\text{Total jerseys} = 3 \times j = 3 \times 3 = 9
\]

The full algebraic expression representing the total amount of each type of gear for all three boys is:

\[
\text{Total gear} = 3k + 3s + 3j
\]

### Part 2: Evaluating Total Cost

Now we calculate the total cost of the basketball gear using the given prices:
- Cost of socks = $5 per pair
- Cost of shorts = $26 each
- Cost of jerseys = $42 each

Now calculate the total cost for each item:

1. **Total cost for socks**:
\[
\text{Total cost for socks} = \text{number of socks} \times \text{cost per pair} = 12 \times 5 = 60
\]

2. **Total cost for shorts**:
\[
\text{Total cost for shorts} = \text{number of shorts} \times \text{cost per short} = 6 \times 26 = 156
\]

3. **Total cost for jerseys**:
\[
\text{Total cost for jerseys} = \text{number of jerseys} \times \text{cost per jersey} = 9 \times 42 = 378
\]

Now, we add all the costs together to find the total cost for Camron's, Ty's, and Jack's basketball gear:

\[
\text{Total cost} = \text{Total cost for socks} + \text{Total cost for shorts} + \text{Total cost for jerseys}
\]
\[
\text{Total cost} = 60 + 156 + 378
\]

Calculating that:

\[
\text{Total cost} = 60 + 156 = 216
\]
\[
\text{Total cost} = 216 + 378 = 594
\]

Thus, the total cost for Camron's, Ty's, and Jack's basketball gear altogether is **$594**.