Question

Shawn and Nick are both selling

t-shirts to raise money for their
school trip. Shawn spent $750
on supplies and charges $35 per
shirt. Nick spent $600 in
supplies and charges $25 per
shirt. How many shirts, x, must
be sold in order for Shawn to
earn at least as much as Nick?

Answer 1

Shawn must sell at least 15 shirts in order to earn at least as much as Nick.

Step-by-step explanation:

In order for Shawn to earn at least as much as Nick, we need to find the number of shirts, x, for which their earnings are equal.

Shawn spends $750 on supplies and charges $35 per shirt, so his earnings can be represented as: EarningsShawn = 35x - 750.

Nick, on the other hand, spends $600 on supplies and charges $25 per shirt, so his earnings can be represented as: EarningsNick = 25x - 600.

To find the number of shirts for which Shawn earns at least as much as Nick, we need to set up an inequality and solve for x. The inequality is: 35x - 750 >= 25x - 600.

Simplifying the inequality, we get: 10x >= 150.

Dividing both sides by 10, we find that x >= 15.

Therefore, Shawn must sell at least 15 shirts in order to earn at least as much as Nick.