Question

For the following equation, identify all of the possible situations that could match to it:

Answer 1

The scenarios which matches the equation given are scenarios 3 and 4

Scenario 1 :

Let :

Cost of hamburger = x

Number of hamburgers = 1

Cost of Burritos = y

Number of burritos = 5

Amount spent on soda = $20

Total cost = $20

x + 5y + 2 = 20

Scenario 2 :

Price per shirt = x

2 shirts = x

A pair of shirt = x

5 pairs = 5x

Total Amount spent = $20

Additional amount spent = $2

x + 5x = $20 + $2

x + 5x = 22

Scenario 3 :

Amount spent per person = x

Amount spent on Sunday (2 persons) = 2x

Amout spent on Monday = number of plays × 2x = 5(2x)

Shoe rental = $2

Total Amout spent = $20

Equation : 2x + 5(2x) + 2 = 20

Scenario 4 :

Let :

Cost per diamond = x

Cost of 2 diamonds = 2x

Cost of gem = 5 times the cost of 2 diamonds = 5(2x)

Tax paid = $2

Total amount spent = $20

Equation : 2x + 5(2x) + 2 = 20

Hence, only scenario 3 and 4 matches the equation.

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