Question

The parents’ club has $2,500 to invest in printed shirts to sell at their fundraiser. What is the maximum number of shirts that they can buy?

Quantity; 101-150 / 151-200 / over 200
Price per shirt; $18 / $15 / $11

Answer 1

The parents' club can buy the maximum number of shirts from the quantity range over 200, with a maximum of 227 shirts.

Step-by-step explanation:

To find the maximum number of shirts the parents' club can buy, we need to calculate the cost of each option and see which option allows them to spend their entire budget of $2,500.

1. For the quantity range of 101-150, the price per shirt is $18. So, to find the maximum number of shirts within this range, we divide the budget by the price per shirt: $2,500 / $18 = 138.89. Since we can't purchase a fraction of a shirt, the maximum number of shirts they can buy is 138.
2. For the quantity range of 151-200, the price per shirt is $15. Following the same calculation, we have: $2,500 / $15 = 166.67. The maximum number of shirts they can buy is 166.
3. For the quantity range over 200, the price per shirt is $11. Using the budget and price per shirt, we find: $2,500 / $11 = 227.27. Again, since we can't purchase a fraction of a shirt, the maximum number of shirts they can buy is 227.

Based on these calculations, the parents' club can buy the maximum number of shirts from the quantity range over 200, with a maximum of 227 shirts.

Answer 2

Total amount to be invested = $2,500.

First given price for a printed shirt = $18.

Number of shirts that they can buy = Total money ÷ Price of each shirt.

a) For unit price $18 number of shirts can buy = 2,500/18 = 138.89, so approximately 138 ( because it's less than 139).

Therefore, with unit price $18 the maximum number of shirts can buy = 138 shirts.

a) For unit price $15 number of shirts can buy = 2,500/15 = 166.67, so approximately 166 ( because it's less than 167).

Therefore, with unit price $15 the maximum number of shirts can buy = 167 shirts.

a) For unit price $11 number of shirts can buy = 2,500/11 = 227.27, so approximately 227 ( because it's less than 228).

Therefore, with unit price $11 the maximum number of shirts can buy =227 shirts.

Therefore, with least unit price $11 , maximum number of shirts could be buy and that is 227 shirts which is over 200.