Benito is selling T-shirts for $8 each for his school fund-raiser. So far, he has sold 16 T-shirts. How many more does he need to sell to reach his goal of $200 in sales?
Three of these equations solve for the number of T-shirts, t, he still needs to sell to reach $200 in sales. Which equation does NOT?
t = 9
8t + 128 = 200
8(t + 16) = 200
8t + 16 = 200
To determine which equation does NOT solve for the number of T-shirts Benito still needs to sell, let’s analyze each equation step by step.
1. Equation: t = 9
– This suggests that Benito needs to sell 9 more T-shirts to reach his goal, but it doesn’t derive from his current sales or the total needed.
2. Equation: 8t + 128 = 200
– This equation does account for the total sales. Since he has already sold 16 T-shirts at $8 each, the total amount is 16 * 8 = 128. This equation is logically correct as it can be solved for t.
3. Equation: 8(t + 16) = 200
– This equation also accurately reflects the total sales because it considers both the T-shirts he still needs to sell (t) and the already sold T-shirts (16).
4. Equation: 8t + 16 = 200
– This equation is incorrect because it does not correctly represent Benito’s current sales. The $16 here does not correspond to the total sales from the T-shirts already sold.
Conclusion: The equation that does NOT solve for the number of T-shirts he still needs to sell is 8t + 16 = 200.
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