Question

Lashonda, Joe, and Boris sent a total of 90 text messages during the weekend. Lashonda sent 6 fewer messages than Boris. Joe sent 4 times as many messages as Boris. How many messages did they each send?

Answer 1

Lashonda sent 10 messages, Joe sent 64 messages, and Boris sent 16 messages.

Step-by-step explanation:

To solve this problem, we can use a system of equations.

Let's assign variables to the number of text messages each person sent:

• Lashonda = L
• Joe = J
• Boris = B

We're given three pieces of information:

1. Lashonda sent 6 fewer messages than Boris, so we can write L = B - 6.
2. Joe sent 4 times as many messages as Boris, so we can write J = 4B.
3. The total number of messages sent is 90, so we can write the equation L + J + B = 90.

Now we can substitute the first two equations into the third equation and solve:

1. (B - 6) + 4B + B = 90
2. 6B - 6 = 90
3. 6B = 96
4. B = 16

Now we can substitute B = 16 back into the equations to find L and J:

1. L = B - 6 = 16 - 6 = 10
2. J = 4B = 4(16) = 64

Therefore, Lashonda sent 10 messages, Joe sent 64 messages, and Boris sent 16 messages.