Mathematics, 16.06.2021 21:40 selfiegymnast

At Barlow School,4/9 of the 873 students are boys. Add to Willow school, 2/3 of the 630 students are girls. Which school has the greater number of boys and by how many?

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Answer from: cjkc

Barlow School has more boys. It has 178 more boys than Willow School.

Step-by-step explanation:

$\frac{4 \times 873}{9} = \frac{3492}{9} = 388$

Barlow School has 388 boys.

$\frac{630 \times 2}{3} = \frac{1260}{3} = 420$

There are 420 girls in Willow School. To find the number of boys, subtract the number of students with the number of girls.

630 - 420 = 210

Willow School has 210 boys

388 - 210 = 178

Barlow School has 178 more boys than Willow School

Answer from: Quest

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the (original price) is $420.

0.7x = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

Answer from: Quest

hows it hangin lol

step-by-step explanation:

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At Barlow School,4/9 of the 873 students are boys. Add to Willow school, 2/3 of the 630 students are...

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