Question

Sophia did push-ups every day for 7 days. Each day after the first day, she did 5 more push-ups than the day before. In total she did 175 push-ups. How many push-ups did Sophia do on the last day?

Answer 1

Push- ups on last day = 40

Explanation:

According to given conditions:

Let push-ups on:

1st day = x

2nd day = x + 5

3rd day = x + 10

4th day = x + 15

5th day = x + 20

6th day = x + 25

7th day = x + 30

Now total push ups = adding all

x + x + 5 + x + 10 + x + 15 + x + 20 + x+ 25 + 30 + x = 175

By adding same terms:

7x + 105 = 175

Subtracting 105 from both sides

7x + 105 - 105 = 175 - 105

7x = 70

Dividing both sides by 7 we get:

x = 70/7

x = 10

Now calculating push-ups on days:

1st day = x = 10

2nd day = x + 5 = 10 + 5 = 15

3rd day = x + 10 = 10 + 10 = 20

4th day = x + 15 = 10 + 15 = 25

5th day = x + 20 = 10 + 20 = 30

6th day = x + 25 = 10 + 25 = 35

7th day = x + 30 = 10 + 30 = 40

So number of push-ups on 7th (last) day is 40.

I hope it will help you!