Aunt Helen is trying to learn 100 words in Spanish. She read somewhere that 15 minutes of practice will allow her to
memorize 6 words correctly.

How many hours of studying will
Helen need in order to memorize all 100 words?

Step-by-step explanation:

The initial information given is 15 minutes = 6 words.

Divide 100 words total by 6 words for 15 minutes. This will give a number to multiply by.

100÷6 = 16 2/3

There are two ways I did this.

Option 1:

Step 1: Multiply both the 15 minutes and the 6 words by 16.

You get 240 minutes=96 words.

Now you need to make the 6 words to 4 words to get to the 100 words.

Step 2: Divide both sides (the 15 and the 6) by 3, and you get 5 and 2. Multiply both the 5 and the 2 by 2 and get 10 and 4. You want the four to get the 96 to 100.

Add that to the partially finished equation (the bolded and underlined).

(240 minutes + 10 minutes) = (96 words + 4 words) = (250 minutes=100 words)

Another way you could do the second step is to just multiply 2/3 by 15 and 6. Much faster.

Option 2:

Much faster and easier.

Multiply the 15 minutes = 6 words by 16 2/3. Change 16 2/3 to mixed number of 50/3 and then save product to calculator memory for easier way.

15 • 16 2/3 = 250 minutes    6 • 16 2/3= 100

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.