In a game for 24 groups, the average number of children was 16. When one more group of children was formed to join in the game, the average number of children became 18. The number of boys to girls who had just joined in the game was in the ratio 5:6. If there were 220 boys at first, how many more boys than girls were in the end?

Answers

Answer 1
Answer:

Answer:

50 boys

Step-by-step explanation:

The number of groups = 24

The average number of children = 16

The new average number of children when one group is added = 18

The ratio of boys to girls in the group that just joined = 5:6

The initial number of boys = 220

Let the initial number of children

The initial total number of children = 24 × 16 = 384

The initial number of girls = 384 - 220 = 164

The final number of children = 25 × 18 = 450

The number of children in the group that joined in the game = 450 - 384 = 66

The ratio of boys to girls in the group = 5:6

Therefore, we get;

The number of boys = 66 × 5/11 = 30

The number of girls = 66 - 30 = 36

The number of boys at the end = 220 + 30 = 250

The number of girls at the end = 164 + 36 = 200

The number of more boys than girls at the end = 250 - 200 = 50

The number of more boys than girls at the end = 50 boys


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Answers

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Explain how you can tell 31\33 is in simplest form

Answers

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Find the following product.
(4a +6) (3a? - 3a+6)
(4a + 6) (3a2- 3a +6) =

Answers

Answer:

12a^3+6a^2+6a+36

Step-by-step explanation:

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How old am I if 400 reduced by 2 times my age is 244? (answer with steps)

Answers

400 reduced (minus) 2 times my age (2x) is 244 (= 244).

400 - 2x = 244   Subtract 400 from both sides
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Adam can shovel a driveway in two hours. Bev can shovel the same driveway in three hours. How long would it take them working together

Answers

Answer:

1.2 hours

Step-by-step explanation:

Given the following :

Time taken by Adam to shovel driveway = 2 hours

Time taken by BEV to shovel highway = 3 hours

How long will it take them working together

Hence Adam's rate of shoveling per hour :

Reciprocal of time taken = 1/2 per hour

BEV's rate will also be ;

1/ 3 per hour

If both work together ; that is combining the rate :

1/2 + 1/3 = (3 + 2) = 5/6

Combined rate = 5/6

Total fraction of shoveled area = 1:

Time taken = area / rate

= 1 ÷ (5/6)

= 1 × (6 / 5)

= 6/5

= 1 1/5 hours = 1.2 hours

Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses P to represent the price and B for bathroom and R for other rooms, which of these represents his price quote formula?A P = 25 + 12(BR)
B P = 4R + 8B + 25
C P = 25(4R + 8B)
D P = (4)(8)(R + B) + 25

Answers

The price quote formula for this problem is P = 4R + 8B + 25.

Hence option B is correct.

Use the concept of forming of equation defined as:

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Given that,

Devon owns a house cleaning company.

He calculates his price quotes for potential customers using a specific formula.

The formula includes a $25 base charge.

He adds $8 for each bathroom (B).

He adds $4 for each other room (R).

The objective is to determine which formula represents Devon's price quote calculation.

If R represent the number of rooms

Then cost of R room = 4R

If B represents the number of bathrooms

Then cost for B bathroom = 8B

The base charge is 25

Then the total charge is = 4R + 8B + 25

Hence,

The price quote formula for this problem is P = 4R + 8B + 25 which is option B.

To learn more about equation visit:

brainly.com/question/29174899

#SPJ3

the answer is P=25(4R+8B)