Mickey's bowling score is 167 and Minnie's bowling score is 61
Step-by-step explanation:
The given is:
1. Mickey's bowling score is 16 less than 3 times Minnie's score
2. The sum of their scores is 228
We need to find the score of each one
Assume that the score of Minnie is x
∵ Minnie's score = x
∵ Mickey's score is 16 less than 3 times Minnie's score
- That means subtract 16 from 3 times Minnie's score
∴ Mickey's score = 3 x - 16
∵ The sum of their scores is 228
- Add their scores and equate the sum by 228
∴ x + 3 x - 16 = 228
- Add like terms in the left hand side
∴ 4 x - 16 = 228
- Add 16 for both sides
∴ 4 x = 244
- Divide both sides by 4
∴ x = 61
Substitute the value of x to find their scores
∵ Minnie's score is x
∴ Minnie's score = 61
∵ Mickey's score is 3 x - 16
∴ Mickey's score = 3(61) - 16 = 167
Mickey's bowling score is 167 and Minnie's bowling score is 61
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