Question

Ashley, Frank, and Chang sent a total of 73 text messages over their cell phones during the weekend. Frank sent 7 more messages than Ashley. Chang sent 2 times as many messages as Frank. How many messages did they each send?

Answer 1

Ashley=13 messages

Frank=20 messages

Chang=2x+14=40 messages

Explanation:

Number of texts sent by each person;

Ashley=x

Frank=x+7

Chang=2(x+7)=2x+14

Total number of text messages=Number sent by Ashley+Number sent by Frank+Number sent by Chang

where;

Total number of text messages=73

Replacing;

73= x+(x+7)+(2x+14)

x+x+2x+7+14=73

4x+21=73

4x=73-21

4x=52

x=52/4

x=13

Ashley=13 messages

Frank=x+7=13+7=20 messages

Chang=2x+14=(2×13)+14=40 messages