Question

You are the senior class president and are selling items for a school fundraiser. You have cell phone cases and t-shirts that have the school logo on
them for sale. Each case costs $12, and each t-shirt costs $7 After selling a total of 60 items, you have made a total of $450. How many cases and t-
shirts were sold?

Answer 1

The $450 of total amount made and the total number of items sold of 60

gives the items sold as 54 T-shirts and 6 cases.

Response:

• 54 T-shirts sold and 6 cases where sold

Which method can be used to find the number of T-shirts and cases sold?

The given parameters are;

The cost of each case = $12

Cost of each T-shirt = $7

Number of items sold = 60

The amount made = $450

Required;

The number of shirt and T-shirt sold

Solution:

Let x represent the number of T-shirt sold and let y represent the number

of cases sold, we have the following simultaneous equation;

• 7·x + 12·y = 450

• x + y = 60

Which gives;

y = 60 - x

7·x + 12·(60 - x) = 450

7·x + 12 × 60 - 12·x = 450

5·x = 12 × 60 - 450 = 270

$x = \dfrac{270}{5} = 54$

x = 54

• The number of T-shirts sold, x = 54

• The number of cases sold, y = 60 - 54 = 6

Learn more about simultaneous equations here:

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