Question

Set up an algebraic inequality, solve, and write a sentence answering the question. Jasmine has a goal to workout a total of at least 6 hours this week. Her workout sessions are always 3/4 an hour long. She already worked out for 1 1/2 hours. What is the minimum number of workout sessions she would need to complete in order to achieve her weekly goal?

Answer 1

6 work out sessions

Explanation:

From the above question, we know that:

Jasmine has a goal to workout a total of at least 6 hours this week.

Her workout sessions are always 3/4 an hour long.

Hence: Her total workout sessions

3/4 hour = 1 workout session

6 hours = x

Cross Multiply

3/4 × x = 6 × 1

x = 6/3/4

x = 6 ÷ 3/4

x = 6 × 4/3

x = 8 work out sessions

We are told that:

She already worked out for 1 1/2 hours.

Hence: if :

3/4 hour = 1 workout session

1 1/2 hours = x

Cross Multiply

3/4 × x = 1 1/2

x = 1 1/2 ÷ 3/4

x = 3/2 ÷ 3/4

x = 3/2 × 4/3

x = 2 work out sessions

Therefore:

the minimum number of workout sessions she would need to complete in order to achieve her weekly goal is calculated as:

8 work out sessions - 2 work out sessions

= 6 work out sessions

Converting this to workout sessions