Advanced Multi-Step Problems

Question 1

A baker uses 2.5 kilograms of flour to make 0.8 of a batch of cookies. She calculates that one full batch would need 3.125 kilograms of flour. Is this answer reasonable?

Accepted Answer

Yes, because the answer is a little larger than 2.5 kilograms.

Answer

No, the answer is too low; it should be less than 2.5 kilograms.

Answer

No, the answer is too high; it should be around 1 kilogram.

Answer

I need more information to decide.

Question 2

A fruit drink is made using a ratio of 4 parts apple juice to 3 parts orange juice. You want to make 56 ounces of the drink. After mixing the juices, you also need to add 0.2 ounces of honey for every 8 ounces of the drink. Which of the following lists the steps in the correct order to find how many ounces of apple juice, orange juice, and honey you need?

Accepted Answer

1) Add the parts: 4 + 3 = 7. 2) Divide the total drink amount (56 oz) by the total parts (7) to get ounces per part. 3) Multiply the ounces per part by 4 for apple juice and by 3 for orange juice, then use the honey rule (0.2 oz per 8 oz) to find honey needed.

Answer

1) First calculate the honey needed, then add the parts of the juices, then divide the total drink amount by the number of parts.

Answer

1) Divide 56 oz by 4, then divide that result by 3, and finally add the honey amount.

Answer

1) Add the parts (4 + 3 = 7), then multiply 56 oz by 7, and finally divide by 0.2 to get the honey.

Question 3

A class is preparing goody bags. The ratio of stickers : pencils : erasers is 2 : 3 : 5. The teacher wants to put a total of 200 items into the bags. What is the best first step to find how many stickers will be used?

Accepted Answer

Add the three numbers in the ratio (2 + 3 + 5) to find the total number of parts.

Answer

Divide the total number of items (200) by the number of stickers in the ratio (2).

Answer

Multiply the total number of items (200) by the number of erasers in the ratio (5).

Answer

Subtract the number of pencils in the ratio (3) from the total number of items (200).

Try three questions

A baker uses 2.5 kilograms of flour to make 0.8 of a batch of cookies. She calculates that one full batch would need 3.125 kilograms of flour. Is this answer reasonable?

A class is preparing goody bags. The ratio of stickers : pencils : erasers is 2 : 3 : 5. The teacher wants to put a total of 200 items into the bags. What is the best first step to find how many stickers will be used?

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