Question

Susan, Deon, and Jim sent a total of 93 text messages during the weekend. Jim sent 2 times as many messages as Susan. Deon sent 5 more messages than Susan. How many messages did they each send?

Number of text messages Susan sent:

Number of text messages Deon sent:

Number of text messages Jim sent:

Answer 1

Susan: 22

Deon: 27

Jim: 44

Total: 93

Explanation:

I think this is right, sorry if not.

Answer 2

Answer: Susan sent 22 messages, Deon sent 27 messages, and Jim sent 44 messages.

Step-by-step explanation: From the given information, we have the following relationships:

- Jim sent 2 times as many messages as Susan: J = 2S.

- Deon sent 5 more messages than Susan: D = S + 5.

- The total number of messages sent by all three is 93: S + D + J = 93.

We can use this information to solve the system of equations.

Substituting the first two equations into the third equation, we have:

S + (S + 5) + 2S = 93.

Combining like terms, we get:

4S + 5 = 93.

Subtracting 5 from both sides of the equation, we have:

4S = 88.

Dividing both sides of the equation by 4, we get:

S = 22.

Now that we know Susan sent 22 messages, we can find the number of messages sent by the other two individuals.

Using the first equation J = 2S, we have:

J = 2 * 22 = 44.

Using the second equation D = S + 5, we have:

D = 22 + 5 = 27.