The cost of a puzzle is $3.25
Step-by-step explanation:
The given is:
We need to find the cost of a puzzle
Assume that the cost of a game is $x and the cost of a puzzle is $y
∵ The cost of two games and five puzzles is $33.25
- Multiply x by 2 and y by 5, then add the products and equate
the sum by 33.25
∴ 2x + 5y = 33.25 ⇒ (1)
∵ The cost of three games and two puzzles is $32
- Multiply x by 3 and y by 2, then add the products and equate
the sum by 32
∴ 3x + 2y = 32 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by 3 and equation (2) by -2 to eliminate x
∵ 6x + 15y = 99.75 ⇒ (3)
∵ -6x - 4y = -64 ⇒ (4)
- Add equations (3) and (4)
∴ 11y = 35.75
- Divide both sides by 11
∴ y = 3.25
The cost of a puzzle is $3.25
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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