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Klio2033 [76]
3 years ago
6

In a school gym, the ratio of the number of boys to girls was 4:3. After 160 boys left the gym, the ratio become 4:5. How many g

irls were there in the gym
Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0
Girls never change number

make same
4:3 times 5 is 20:15
4:5 times 3=12:15


boys:girls
from 20:15 to 12:15
boys dropped 160

20-12=8
160=8 units
divide both sides by 8
20=1unit

girls=15 units
20*15=300

300 girls
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Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

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perimeter of rectangular pen =2(x+y)=520\text{ feet}

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area of rectangular pen =\text{length}\times\text{width}

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putting value of y

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y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

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Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

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