Question

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?

Answer 1

The equation that can be used to find the number of tickets Liz needs for each hair tie is t = (2,200 - a) / 13. This equation represents the fact that if Liz spends a tickets on the kickball, she will have (2,200 - a) tickets left to buy hair ties. Dividing this remaining number of tickets by the quantity of hair ties that can be bought with it (13) gives the number of tickets needed for each hair tie.

Step-by-step explanation:

The equation that can be used to find the number of tickets Liz needs for each hair tie is:

t = (2,200 - a) / 13

Where t is the number of tickets for each hair tie and a is the number of tickets spent on the large item (kickball) that Liz plans to buy.

This equation represents the fact that if Liz spends a tickets on the kickball, she will have (2,200 - a) tickets left to buy hair ties. Dividing this remaining number of tickets by the quantity of hair ties that can be bought with it (13) gives the number of tickets needed for each hair tie.