## anonymous one year ago A recipe that makes 6 servings calls for 1/3 cup of sugar. Arlene modifies the recipe so that it can serve 9. How many cups of sugar does Arlene need?

1. welshfella

by proportion it ts 1/3 * 9/6

2. welshfella

|dw:1440007141832:dw|

3. welshfella

multiply 1 by 9 = ? multiply 3 by 6 = ?

4. anonymous

9/18

5. welshfella

yes now that can be simplified to what?

6. anonymous

1/2

7. welshfella

yes

8. welshfella

yw

9. anonymous

A recipe for 1 lb of trail mix calls for 5.7 oz of raisins. How many ounces of raisins are needed to make 3 lb of trail mix?

10. mathstudent55

You can do this several ways. 1. Notice that 9 cups is 1.5 times 6 cups. That means you need 1.5 * 1/3 1.5 ^ 1/3 = 1/2 Answer is 1/2 cup 2. Set up a proportion. 6 serving is to 1/3 cup as 9 servings is to x cups 6 : 1/3 = 9 : x $$\dfrac{6}{\frac{1}{3}} = \dfrac{9}{x}$$ $$6x = \ \times \dfrac{1}{3}$$ $$6x = 3$$ $$x = \dfrac{1}{2}$$ Once again, we have an answer of 1/2 cup.

11. welshfella

this one is easy WHat do you need to multiply 5.7 by to get the answer?

12. anonymous

oh I feel stupid

13. anonymous

Last month, Steven had $4285.68 that he divided into two accounts. He deposited 1/3 into a savings account. He deposited the rest into his checking account. How much money did Steven deposit into his checking account? 14. welshfella |dw:1440007766486:dw| 15. anonymous 17.1 16. mathstudent55 1 lb trail mix ---. 5.7 oz raisins 3 lb trail mix ---> ___ * 5.7 oz raisins Notice that 3 lb = 3 * 1 lb 3 * 1 lb trail mix ---> ___ * 5.7 oz raisins 17. mathstudent55 Correct. 18. anonymous @welshfella Last month, Steven had$4285.68 that he divided into two accounts. He deposited 1/3 into a savings account. He deposited the rest into his checking account. How much money did Steven deposit into his checking account?