Question

Yoko, milan, and austin sent a total of 110 text messages over their cell phones during the weekend. milan sent 10 more messages than yoko. austin sent 3 times as many messages as milan. how many messages did they each send?

Answer 1

Yoko sent 14

Milan sent 24

Austin sent 72

Explanation:

we can let 'y' equal the amount that Yoko sent

if Milan sent ten more than Yoko we can use '10+y' for Milan's amount

if Austin sent three times as many as Milan we can use '3(10+y)' for his amt

add all three terms together and set equal to 110:

y + 10+y + 3(10+y) = 110

distribute to remove parentheses:

y + 10 + y + 30 + 3y = 110

combine 'like terms':

5y + 40 = 110

5y = 70

y = 14

'y+10' = 24

3(24) = 72

check: 14 + 24 + 72 should equal 110 and it does