Question

Jasmine is making cookies for a bake sale. As of noon, she had already been making cookies for 30 minutes. She can spend no more than 3 hours total making cookies. Each batch of cookies she makes takes 10 minutes. If x represents the number of batches she makes after noon, which of the following inequalities symbolizes the situation?

30 + 10x < 180
10 + 30x ≤ 180
10 + 30x < 180
30 + 10x ≤ 180

Answer 1

When you do word problems, read the question carefully. If there is a word or group of words you don't understand, look the word or words up on the Internet or ask a knowledgeable person.

Write down what you know and what you are to find out. Pay close attention to the units. If the units are different then you will likely have to do a conversion. Look up the conversion on the Internet or ask a knowledgeable person.

Answer 2

In this problem you have minutes and hours as the units. Since you are given two items listed in minutes and only one in hours, I would covert the hours unit to minutes. This way you only have to do one conversion. Since there are 60 minutes in one hour, then the number of minutes in 3 hours would be 60+60+60=180 minutes.

Answer 3

We are given that Jasmine has already used 30 minutes of time making cookies as of 12 noon. So from noon on, Jasmine has 2 hours and 30 minutes left to make cookies, 3 hours minus the 30 minutes Jasmine has already used.

We are given that a batch of cookies takes 10 minutes.

Answer 4

We are asked to find an inequality that will tell us how many cookies Jasmine can make from 12 noon for the next 2 hours and 30 minutes or 150 minutes.

So we write our inequality like this:\[10x \le150\] Where x is the number of batches of cookies.

Unfortunately, we see that our inequality doesn't look like one the answers.

However, if we add the 30 minutes back on to both sides of the inequality, we get this inequality:\[30+10x \le150+30\]\[30+10x \le180\]

Which is the last choice we are given.