Worksheet: Applications of Rational Expressions

In this worksheet, we will practice using rational equations to describe real-world situations and solving problems.

Q1:

Shady is mixing 75 cL of a beverage that contains 20% of sugar to a 60% sugar syrup. How much of this 60% sugar syrup should be added if he wants his beverage to contain 30% of sugar?

Q2:

It takes Yara  2 hours to pick up 8 kg of strawberries. When she is helped by her son, Sherif, it takes them 1 hour and a quarter. How long would it take Sherif to pick up 8 kg of strawberries alone? Give your answer in hours and minutes.

• A 2 hours and 30 minutes
• B 3 hours and 45 minutes
• C 2 hours and 45 minutes
• D 3 hours and 20 minutes
• E 3 hours and 15 minutes

Q3:

A speech therapist charges two different fees, \$20 and \$35, depending on the type of the session. On a given day, she has already had 3 sessions at \$20 and 4 at \$35. For the rest of the day, she will only have sessions at \$20. How many of those should she give to earn an average rate of \$25 per session?