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mylen [45]
3 years ago
12

235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each gr

oup are at the camp?
Mathematics
1 answer:
makkiz [27]3 years ago
8 0

Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35  = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.

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