Question

Sam bought a computer game that costs 15% more than a printer cartridge. The computer game costs $40. Write an equation that can be used to find c, the cost in dollars, of the printer cartridge. Then, find the cost of the printer cartridge. Equation: ____________ Solution: $_______________

Answer 1

Equation: 1.15 c = 40

Solution: $34.78

Step-by-step explanation:

The given is:

• Sam bought a computer game that costs 15% more than a printer cartridge
• c is the cost in dollars, of the printer cartridge

We need to write an equation that can be used to find c, and then

find the value of c

∵ The cost of the printer cartage = $c

∵ The computer game costs 15% more than a printer cartridge

- That means add the cost of the cartage by 15% of it to find the

   cost of the computer game

∴ The cost of the computer game = c + 15% × c

∵ 15% = 15 ÷ 100 = 0.15

∴ The cost of the computer game = c + 0.15 c

- The two terms of c (1 + 0.15)

∴ The cost of the computer game = $1.15 c

∵ The cost of the computer game = $40

- Equate the two expressions of the cost of the game

∴ 1.15 c = 40

The equation that can be used to find c is 1.15 c = 40

Solve the equation to find c

∵ 1.15 c = 40

- Divide both sides by 1.15

∴ c = $34.78

The cost of the printer cartridge is $34.78

Equation: 1.15 c = 40

Solution: $34.78

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