As president of the student council, Meg is choosing between two options for class T-shirts. A local shop charges $11 for each shirt, plus a set-up fee of $100. An online store charges $15 for each shirt, plus a set-up fee of $24. Which equation can you use to find s, the number of shirts Meg would need to order for the two options to cost the same? Choices: (A)11s + 100 = 15s + 24 (B)11 + 100s = 15 + 24s How many shirts would Meg need to order for the two options to cost the same? ____ shirts

Question

As president of the student council, Meg is choosing between two options for class T-shirts. A local shop charges $11 for each shirt, plus a set-up fee of $100. An online store charges $15 for each shirt, plus a set-up fee of $24. Which equation can you use to find s, the number of shirts Meg would need to order for the two options to cost the same?   Choices: (A)11s + 100 = 15s + 24 (B)11 + 100s = 15 + 24s  How many shirts would Meg need to order for the two options to cost the same?   ____ shirts

Bytelearn · Accepted Answer

Multiply and Add Cost Equation: To find the equation that represents the cost of shirts from the local shop, we multiply the number of shirts by the price per shirt and add the set-up fee. This gives us the equation for the local shop: Cost = 11s + 100.Set Cost Equations Equal: Similarly, for the online store, we multiply the number of shirts by the price per shirt and add the set-up fee. This gives us the equation for the online store: Cost = 15s + 24.Solve for Number of Shirts: To find the number of shirts where the cost is the same for both options, we set the two equations equal to each other: 11s + 100 = 15s + 24.Isolate Term with s: Now we need to solve for s. We can do this by subtracting 11s from both sides to get the s terms on one side: 100 = 4s + 24.Divide to Solve for s: Next, we subtract 24 from both sides to isolate the term with s: 76 = 4s.Calculate Final Value: Finally, we divide both sides by 4 to solve for s: s = 76 / 4.Calculating the value of s, we get: s = 19.

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