Leslie subscribes to a cell phone texting plan with three other members of her family. Within any
given month they cannont send more than 500 text messages total. At the end of last month, Leslie had sent 25 more texts than her older brother, 50 fewer texts than her younger sister, and
125 more texts than her mom. How many texts could Leslie have sent if they did not go over the
500 text limit?
Answers
Answer:
Let's first find the variables. We don't know how much messages Leslie sent, so we'll just mark the number of messages as "x". Leslie's older brother sent 25 lesser than Leslie's, so his will be "x-25". Leslie's little sister sent 50 more than Leslie, so her variable will be "x+50". Her mom sent 125 less than Leslie, so hers is "x-125". Also, we know that the limit is 500.
Leslie: x
Her older brother: x-25
Her little sister: x+50
Her mom: x-125
Limit of messages: 500
The equation will be:
x+x-25+x+50+x-125≤500
Step 1: Combine like terms. Add all the x's together, which will be 4x. Then add the constants together, and which you'll get -100. It will look like:
4x-100≤500
Step 2: Add 100 to both sides. 100 on the left side will cancel each other out, and 500+100 will be 100. It will look like:
4x≤600
Step 3: Divide 4 on both sides. It will give you the answer:
x≤150.
Answer in a sentence:
Leslie sent no more than 150 texts.