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?

6 work out sessions

Step-by-step 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

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

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