Mixture problems, rate problems, literal equations

A recipe call for 4 teaspoons of seasoning for every 5 teaspoons of cream. If there are 50 more teaspoons of cream than seasoning, how many teaspoons of seasoning will you need? Solve by using a tape diagram.

• 250
• 200
• 40
• 10

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

How many liters of a 70% alcohol solution must be added to 50 liters of a 40% alcohol solution to produce a 50% alcohol solution?

• 30

• 25

• 15

• 8

How many ounces of pure water must be added to 50 ounces of a 15% saline solution to make a saline solution that is 10% salt?

• 40

• 30

• 11

• 25

Find the selling price per pound of a coffee mixture made from 8 pounds of coffee that sells for $9.20 per pound and 12 pounds of coffee that costs $5.50 per pound.

• 6.98

• 7.06

• 4.78

• 9.95

How many pounds of lima beans that cost $0.90 per pound must be mixed with 16 pounds of corn that costs $0.50 per pound to make a mixture of vegetables that costs $0.65 per pound?

• 9.4

• 9.5

• 9.6

• 9.7

Two hundred liters of a punch that contains 35% fruit juice is mixed with 300 liters (L) of another punch. The resulting fruit punch is 20% fruit juice. Find the percent of fruit juice in the 300 liters of punch.

• 10

• 20

• 30

• 40

John has 20 ounces of a 20% salt solution. How much salt should he add to make it a 25% solution?

• 1½ oz

• 1¼ oz

• 1⅓ oz

• 1⅕ oz

A metallurgist needs to make 12.4 lb. of an alloy containing 50% gold. He is going to melt and combine one metal that is 60% gold with another metal that is 40% gold. How much of each should he use?

• 6.7 lb. of 60% gold, 6.0 lb. of 40% gold

• 6.2 lb. of 60% gold, 6.9 lb. of 40% gold

• 6.2 lb. of 60% gold, 6.2 lb. of 40% gold

• 6.8 lb. of 60% gold, 6.4 lb. of 40% gold

7 L of an acid solution was mixed with 3 L of a 15% acid solution to make a 29% acid solution. Find the percent concentration of the first solution

• 10

• 35

• 18

• 56

9 gal. of a sugar solution was mixed with 6 gal. of a 90% sugar solution to make a 84% sugar solution. Find the percent concentration of the first solution.

• 80

• 60

• 40

• 30