Liz won a bunch of tickets at the arcade. She plans to spend most of them on one large item and use the rest to buy hair ties. An employee at the arcade tells Liz that if she buys the kickball for 2,200 tickets, she will have exactly enough left for 13 hair ties. However, if she buys the toy airplane for 2,500 tickets, she will have exactly enough left for 7 hair ties.Which equation can you use to find t, the number of tickets Liz needs for each hair tie?2,200+13t=2,500+7t2,200+13t=2,500–7tHow many tickets does Liz need for each hair tie? tickets

This equation shows how the total number of hair bands Victoria owns is related to the amount of money she spends on additional hair bands.h = 7dThe variable d represents the amount of money she spends on additional hair bands, and the variable h represents the total number of hair bands she owns. How much money does Victoria need to spend on new hair bands in order to own a total of 98 hair bands?

Ava is starting a cake-baking business, and she has just spent $150 for equipment. She figures that each cake will cost $4.50 to make, and she plans to sell her cakes for $12 each.Ava wants to find the number of cakes, c, she must sell to break even. In other words, she wants to know how many cakes she must sell before she has made as much money as she has spent. Which equation can she use?150+4.5c=12cc(150+4.5)=12c4.5c+12c=150150–4.5c=12c4.5c+150=12150c+4.5=12How many cakes must Ava sell before she has made as much money as she has spent?cakesSubmit

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

Laura owns a T-shirt business with fixed costs of $50,000 a year. Her selling price per shirt is $15. Each shirt has a variable cost of $5. How many shirts does Laura need to sell to break even?Responses15,00015,00025,00025,0003,3333,3335,0005,000

Nicole sold t-shirts at a festival and made a profit of $83. She made $5 for each t-shirt she sold. Her total expenses were $22. How many t-shirts did she sell?(a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 83, 5, and 22. Let x represent the number of t-shirts.=+x=−x(b) Solve the equation in part (a) to find the number of t-shirts.=x