Question

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9. 3 badminton racquets and 2 baseball bats cost $167. 1 badminton racquet and
3 baseball bats cost $163. How much does 1 badminton racquet cost?


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Answer 1

Answer:

=> 1 badminton = 163 - 3baseball

=> 3(163 - 3 baseball) + 2 baseball = 167

= 489 - 9 baseball + 2 baseball = 167

=> 7 baseball = -322

= baseball = 46

=> 3 badminton + 2(46) = 167

so, the answer is badminton = 25

Step-by-step explanation:

Answer 2

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GiveN:

• Cost of 3 badminton + 2 baseball = $167
• Cost of 1 badminton + 3 baseball = $163

To FinD:

• Cost of 1 badminton?

Step-wise-Step Explanation:

Let the cost of each badminton be m and cost of each baseball be n. Then, our equations will be:

1. 3m + 2n = $167
2. m + 3n = $163

Multiplying eq. (2) with 3,

⇒ 3(m + 3n) = 3 × 163

⇒ 3m + 9n = 489

Subtracting eq. (2) from eq. (1),

⇒ 3m + 9n - (3m + 2n) = 489 - 167

⇒ 3m + 9n - 3m - 2n = 322

⇒ 7n = 322

⇒ n = 46

Then, m = 163 - 3(46)

⇒ m = 163 - 138

⇒ m = 25

m was considered for the cost of badminton. Hence, the cost of 1 badminton will be $25. And we are done! :D