Question

Keiko, David, and Rafael sent a total of 105 text messages during the weekend. David sent 3 times as many messages as Rafael. Keiko sent 10 fewer messages than Rafael. How many messages did they each send?

Answer 1

Keiko = 13 ; David = 69 ; Rafael = 23

Explanation:

k + d + r = 105

d = 3r

k = r - 10

r - 10 + 3r + r = 105

5r = 105 + 10

5r = 115

5/5 r = 115/5 r

r = 23

d = 3 · 23 = 69

k = 23 - 10 = 13