Mark is the trainer for the Little Kids soccer team. He needs to buy 50 bandages and
3 ice packs for the team’s ﬁrst-aid kit. Mark can spend no more than $12. Prices
vary for different ice packs, but every brand of bandage costs the same: $4.50 for 50
bandages. The sales tax is 9%.
1. Write an inequality to identify the amount Mark can spend on ice packs. Identify
your variable.

Question

Mark is the trainer for the Little Kids soccer team. He needs to buy 50 bandages and 
3 ice packs for the team’s ﬁrst-aid kit. Mark can spend no more than $12. Prices 
vary for different ice packs, but every brand of bandage costs the same: $4.50 for 50 
bandages. The sales tax is 9%.
1. Write an inequality to identify the amount Mark can spend on ice packs. Identify 
your variable.

anonymous · Answer

x- price of an ice pack
3x+4.5 - price for 50 bandages and 3 ice packs
3x+4.5+(3x+4.5)*0.09 - price for 50 bandages and 3 ice packs with sales tax

$$3x+4.5+(3x+4.5)*0.09\le12$$
$$3x+0.27x+0.405\le12-4.5$$
$$3.27x \le7.5-0.405$$
$$3.27x \le7.095$$
$$x \le2.17$$

The price for one ice pack that Mark can pay is $2.17 or less.