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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?11+100s=15+24s11s+100=15s+24How 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 11foreachshirt,plusasetupfeeof11 for each shirt, plus a set-up fee of 100. An online store charges 15foreachshirt,plusasetupfeeof15 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?11+100s=15+24s11s+100=15s+24How many shirts would Meg need to order for the two options to cost the same? shirts

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Solution

The correct equation to use would be 11s + 100 = 15s + 24. This equation represents the total cost of the shirts from the local shop (11s + 100) and the online store (15s + 24) respectively.

To find the number of shirts (s) where the cost would be the same, you would set the two equations equal to each other and solve for s:

11s + 100 = 15s + 24

First, you can simplify the equation by subtracting 11s from both sides:

100 = 4s + 24

Then, subtract 24 from both sides:

76 = 4s

Finally, divide both sides by 4 to solve for s:

s = 19

So, Meg would need to order 19 shirts for the two options to cost the same.

This problem has been solved

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