To set up an algebraic expression that represents the total number of items the three boys (Camron, Ty, and Jack) are buying for their basketball gear, we can break down the quantities needed for each type of item and then sum them up for all three boys.
Each boy needs:
- \(k\) (socks): 4 pairs per boy
- \(s\) (shorts): 2 pairs per boy
- \(j\) (jerseys): 3 jerseys per boy
Since there are 3 boys, we can express the total number of each item as follows:
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For socks: \[ \text{Total socks} = 3 \times k = 3 \times 4 = 12 \text{ pairs} \]
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For shorts: \[ \text{Total shorts} = 3 \times s = 3 \times 2 = 6 \text{ pairs} \]
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For jerseys: \[ \text{Total jerseys} = 3 \times j = 3 \times 3 = 9 \text{ jerseys} \]
Now, combining these expressions gives us the total expression for all the items bought by the three boys:
\[ \text{Total items} = 3k + 3s + 3j \]
Substituting in the values for each item from above, we summarize it as:
\[ \text{Total items} = 12 + 6 + 9 \]
This expression shows how many socks, shorts, and jerseys are being bought in total. If you want the total to be calculated directly as a numerical value, it would equal:
\[ \text{Total items} = 27 \]
However, in terms of an algebraic expression representing the items and the need for each item by the three boys, you can use:
\[ \text{Total items} = 3k + 3s + 3j \]
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