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BARSIC [14]
3 years ago
15

The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how

Mathematics
1 answer:
zmey [24]3 years ago
8 0
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

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Barry is 8 years older than his sister. In 3 years, he will be twice as old as she will be then. How old is each now?
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Answer:

Step-by-step explanation:

Present age of Barry = b

Present age of sister = s

Barry is 8 years older than his sister means if we subtract 8 from present age of Barry both will be of equal age

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In 3 years means we have to add 3 in their present age

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then

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Put the value of s from (1) to (2), we have

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7 0
3 years ago
The cost of a pair of jeans was changed from $47 to $42.13. What was the percent change?
zhenek [66]

Answer:

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Step-by-step explanation:

  1. $47 - $42.13 = $4.87
  2. ($4.87 ÷ $47) × 100 = 10.36%

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Answer:

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Step-by-step explanation:

To solve this, I broke it down into two parts.

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B. Number of routes going back to Town A

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From here, it is easy to see what to do. Since there are 14 routes going to Town C and 14 routes going back, the answer is 14 x 14 = 196.

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The restaurant would have to give the free samples to its customers so that they would provide a feedback for the business.

<h3>What is feedback?</h3>

This is the word that is used to refer to the information that one has to create or give as way of reacting to the use of a product or of a new service.

This is a way of bringing about improvements or about bringing a new line into a new market. The customers in this case would have to tell the restaurant what they think about the new dish.

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