Question

Kira, Michael, and Dante sent a total of text messages over their cell phones during the weekend. Dante sent 10 fewer messages than Kira. Michael sent 2 times as many messages as Dante. How many messa

Answer 1

To solve this problem, we can use algebraic equations to represent the relationships between the number of messages sent by Kira, Michael, and Dante.

Step-by-step explanation:

To solve this problem, we can use algebraic equations to represent the relationships between the number of messages sent by Kira, Michael, and Dante.

1. Let's assume the number of messages sent by Kira is represented by 'x'.
2. Since Dante sent 10 fewer messages than Kira, the number of messages sent by Dante would be 'x-10'.
3. Michael sent 2 times as many messages as Dante, so the number of messages sent by Michael would be '2(x-10)'.
4. According to the given information, the total number of messages sent by all three is 'x + (x-10) + 2(x-10)'.
5. We can simplify this equation to '4x - 30'.

Therefore, the total number of messages sent by Kira, Michael, and Dante is '4x - 30'.