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Algebra 1

Unit 5 Lesson 4 - Mixture Word Problems

Name___________________________________

-1-

1) Daniel mixed together 2 gal. of Brand Afruit drink and 8 gal. of Brand B fruitdrink which contains 55% fruit juice. Find the percent of fruit juice in Brand Aif the mixture contained 46% fruit juice.

2) 1 kg of Indonesian cinnamon which costs$10/kg was combined with 6 kg of Thaicinnamon which costs $17/kg. Find thecost per kg of the mixture.

3) For his birthday party Bill mixed together3 gal. of Brand A fruit punch and 6 gal. ofgrape juice. If Brand A contains 10% fruitjuice, then what percent of the finalmixture is fruit juice?

4) Asanji made a nut mixture that contains32% peanuts by mixing together 6 oz. ofmixed nuts that contain 60% peanuts and14 oz. of a different brand of mixed nuts. The second brand of mixed nuts containedwhat percent peanuts?

5) Willie wants to make 12 L of a 43%alcohol solution by mixing together a 18%alcohol solution and a 48% alcoholsolution. How much of each solutionmust he use?

6) John and his brother mixed together twotypes of soil to make 5 ft³ of soil with a48% sand content. They used 1 ft³ of asoil with 40% sand content and 4 ft³ ofanother type of soil. What was the sandcontent of the second type of soil?

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7) 21 oz of baking flour was made bycombining 14 oz of bleached flour whichcosts $7/oz with 7 oz of unbleached flourwhich costs $4/oz. Find the cost per oz ofthe mixture.

8) Nicole wants to make 8 qt. of a 19% salinesolution by mixing together a 28% salinesolution and a 4% saline solution. Howmuch of each solution must she use?

9) How much silt do you need to add to 1 ft³of soil with 20% silt in order to make asoil with 90% silt?

10) How many gal. of a 10% alcohol solutionmust be mixed with 4 gal. of a 70%alcohol solution to make a 26% solution?

11) 8 lb of bleached flour which costs $3/lbwere combined with 12 lb of unbleachedflour which costs $8/lb. Find the cost perlb of the mixture.

12) Kristin and her brother mixed together twotypes of soil to make 15 ft³ of soil with a48% silt content. They used 6 ft³ of a soilwith 54% silt content and 9 ft³ of anothertype of soil. What was the silt content ofthe second type of soil?

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13) Mark wants to make a 46% acid solution. He has already poured 11 fl. oz. of a 18%acid solution into a beaker. How many fl.oz. of a 90% acid solution must he add tothis to create the desired mixture?

14) How many oz of peanuts which cost $4/ozmust be added to 3 oz of spices which cost$1/oz to make Rob's Red Hot Peanutswhich cost $3/oz?

15) How much soil with 27% sand do youneed to add to 2 m³ of soil with 55% sandin order to make a soil with 35% sand?

16) Abhasra wants to make a 45% salinesolution. She has already poured 6 gal. ofa 30% saline solution into a beaker. Howmany gal. of a 90% saline solution mustshe add to this to create the desiredmixture?

17) Norachai wants to make 11 qt. of a 36%saline solution by mixing together a 24%saline solution and a 68% saline solution. How much of each solution must he use?

18) How many kg of a metal containing 15%platinum must be combined with 7 kg of ametal containing 30% platinum to form analloy containing 22% platinum?

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