Question

4: The ratio of the number of people who prefer apple phones to the number of people who prefer android phones is 7:5. If there are 32 more people who prefer apple phones than android phones, how many people prefer an android phone?

Answer 1

The people prefer an android phone is 80

Step-by-step explanation:

Let the number of people who prefer android phones be x,

then we are given that no. of people who prefer apple phones are 32 more than those who prefer android i.e

no. of people who prefer apple phones = x + 32

and we are given the ratio of user of apple phones to that of android phones as 7:5

This can be written as 7/5 = (x+32)/x

Solving the above equation,

7x = 5(x+32)

7x = 5x + 5*32

2x = 160

x = 80 which is the required answer.

Answer 2

The correct answer is 80 people.

Step-by-step explanation:

1. The ratio of the number of people who prefer Apple phones to the number of people who prefer Android phones is 7:5. This means that if we have a sample of 12 people, 7 out of 12 will prefer Apple phones and the remaining 5 will prefer Android phones.

If the sample is 24, instead of 12, we will get these results:

People who will prefer Apple phones = 7 x 2 = 14

People who will prefer Android phones = 5 x 2 = 10

Difference between people who will prefer Apple phones minus people who will prefer Android phones = 14 - 10 = 4

2. But we need to find how many people will prefer Android phones when the difference between those who will prefer Apple phones minus those who will prefer Android phones is 32.

In other words, we need to multiply by 16 to find that difference of 32

Initial ratio = 7:5 with a difference of 2

New ratio = 112:80 (after multiplying by 16) with a difference of 32

When there are 192 people, keeping the same initial ratio, 112 of them will prefer Apple phones, 80 of them will prefer Android phones and there are 32 people more who prefer Apple phones than Android phones.