Question

Six students entered a push-up contest. The first five students did the following number of pushups 75, 68, 61, 86, 57. How many push-ups will the sixth kid need to complete to have an average of 71.

Answer 1

79 push-ups will the sixth kid need to complete to have an average of 71.

Explanation:

Given:

Six students entered a push-up contest.

The first five students did the following number of pushups 75, 68, 61, 86, 57.

Now, to find the number of push-ups will the sixth kid need to complete to have an average of 71.

Let the number of push-ups of sixth student be
`x.`

Total number of students = 6.

Average of six students push-ups = 71.

Now, to get the number of push-ups the sixth kid need:

`Average\ of\ six\ students\ push-ups* Total\ number\ of\ students =75+68+61+ 86+57+x`

`71* 6=347+x`

`426=347+x`

Subtracting both sides by 347 we get:

`79=x`

`x=79.`

Therefore, 79 push-ups will the sixth kid need to complete to have an average of 71.