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A family of four went to see a live concert in Vancouver. Each family member bought
a commemorative concert T-shirt, which cost of the price of a ticket. The total bill
for 4 tickets and 4 T-shirts was $384. How much did each ticket and each T-shirt
cost?
Step 1. Read and summarize
Step 2. Note the variable
Step 3. Translate and solve
Step 4. Ensure you’ve answered the question

Respuesta :

akposevictor

The equation that models the word problem is: 4x + 4/5x = 384 (where x is the cost of 1 ticket).

Cost of each ticket = x = $80

Cost of each T-shirt = x/5 = 80/5 = $16

How to Solve a Word Problem Using Equations?

To solve the word problem given, we would make use of the variable, x.

We are given that:

Cost price of of one T-shirt = 1/5 of the cost price of one ticket.

Total cost of 4 tickets and 4 T-shirts = $384

Let x represent the cost of 1 ticket. Therefore, translating the word problem into an equation, we would have:

4x + 4/5x = 384

Solve to find the value of x

(20x + 4x)/5 = 384

Multiply both sides by 5

(20x + 4x)/5 × 5 = 384 × 5

24x = 1,920

Divide both sides by 24

x = 1,290/24

x = 80

Thus, we have:

Cost of each ticket = x = $80

Cost of each T-shirt = x/5 = 80/5 = $16

Learn more about equations of word problems on:

https://brainly.com/question/21405634

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