Gavin went on 25 runs last month that totaled 101 miles. each run was a distance of either 3 miles or 5 miles. which system of equations can be used to determine the number of 3-mile runs, x, and the number of 5-mile runs, y, that gavin went on last month?

Hence, the number of 3-miles run Gavin went on last month=12.

and number of 5-miles run Gavin went on last month=13.

Step-by-step explanation:

'x' denotes the number of 3-miles run.

'y' denotes the number of 5-miles run.

Gavin went on 25 runs.

that means x+y=25(1).

also he total walked 101 miles that means in equation it could be written as:

3x+5y=101(2)

on solving equation (1) and (2) by method of elimination.

multiply equation (1) by 3 and subtract from equation (2) we get:

equation (1) transformed to 3x+3y=75

 3x+5y=101

 3x+3y=75

   -     -      -

2y=26

⇒ y=13.

and putting value of y in equation (1) we get:

x=12.

Hence, the number of 3-miles run Gavin went on last month=12.

and number of 5-miles run Gavin went on last month=13.

answer: answer is c!

ok i got to organize the

3/15 and 12/55

3*

aha

3*4 equals 12 but not

a: no

b:

8/24 12/35

no

gautie

it's c

5/18 = 25/90

5*5=25

18*5 = 90

hope that you!

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step-by-step explanation: