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Elsa, Josh, and Greg sent a total of 148 text messages during the weekend. Elsa sent 10 more messages than Josh. Greg sent 4 times as many messages as
Josh. How many messages did they each send?
Number of text messages Elsa sent:
X
G
Number of text messages Josh sent:
Number of text messages Greg sent:
☐

Verified Answer :

Let's define the number of messages Josh sent as \( J \). According to the problem:

- Elsa sent 10 more messages than Josh, so Elsa sent \( J + 10 \).
- Greg sent 4 times as many messages as Josh, so Greg sent \( 4J \).

The total number of messages sent by all three is 148. Therefore, we can write the equation:

\[ J + (J + 10) + 4J = 148 \]

Combining like terms, we get:

\[ 6J + 10 = 148 \]

Subtracting 10 from both sides gives us:

\[ 6J = 138 \]

Dividing both sides by 6 gives us the number of messages Josh sent:

\[ J = 23 \]

Now we can find out how many messages Elsa and Greg sent:

- Elsa sent \( J + 10 = 23 + 10 = 33 \) messages.
- Greg sent \( 4J = 4 \times 23 = 92 \) messages.

So, Josh sent 23 messages, Elsa sent 33 messages, and Greg sent 92 messages.

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