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sveta [45]
3 years ago
13

In a fund-raising committee of 45 people, the ratio of men to women is 7 : 2. Find the number of women required to join the exis

ting committee so that the ratio of men to
women is changed to 5:4
Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0

Answer:

18 women

Step-by-step explanation:

Sum the parts of the ratio, 7 + 2 = 9 parts

Divide 45 by 9 to find the value of one part of the ratio.

45 ÷ 9 = 5 ← value of 1 part, thus

7 parts = 7 × 5 = 35 ← number of men

2 parts = 2 × 5 = 10 ← number of women

We require to change the ratio to 5 : 4

The 5 part of the ratio represents the number of men, thus

35 ÷ 5 = 7 ← value of 1 part of the ratio, thus

4 × 7 = 28 ← number of women

Number of women required to join existing committee = 28 - 10 = 18

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Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

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