Question

Jina, Chang, and Kevin sent a total of 130 text messages over their cell phones during the weekend. Chang sent 3 times as many messages as Kevin.

Kevin sent 5 fewer messages than Jina. How many messages did they each send?

Answer 1

Let the no. of messages Jina send be x.

No. of messages Kevin send=x-5

No. of messages Chang send=3(x-5)

=3x-15

x+(x-5)+(3x-15)=130

x+x-5+3x-15=130

x+x+3x-5-15=130

5x-20=130

5x=130+20

=150

x=150÷5

=30

No. of messages Jina sent=30

No. of messages Kevin sent=30-5

=25

No. of messages Chang sent=3(30)-15

=90-15

=75