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stich3 [128]
3 years ago
7

Last year at a certain high school, there were 96 boys on the honor roll and 60 girls on the honor roll. This year, the number o

f boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

19%

Step-by-step explanation:

Last year:

Number of boys on honor roll = 96

Number of girls on honor roll = 60

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 96 + 60

= 156

This year:

The number of boys on the honor roll increased by 25%

Number of boys on honor roll = 25% of 96 + 96

= 0.25×96 + 96

= 24 + 96

= 120

The number of girls on the honor roll increased by 10%.

Number of girls on honor roll = 10% of 60 + 60

= 0.10 × 60 + 60

= 6 + 60

= 66

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 120 + 66

= 186

Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100

= 30 / 156 × 100

= 0.19 × 100

= 19% to the nearest tenth

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