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These sample problems below for Mixture Word Problems were generated by the MathScore.com engine.

## Sample Problems For Mixture Word Problems

### Complexity=1, Mode=tickets

 1 A ticket booth sold 308 tickets and collected \$1893.50 in ticket sales. Adult tickets are \$8 and child tickets are \$4.50. How many tickets of each type were sold? Adult: tickets    Child: tickets 2 A ticket booth sold 446 tickets and collected \$3188 in ticket sales. Adult tickets are \$9 and child tickets are \$2. How many tickets of each type were sold? Adult: tickets    Child: tickets

### Complexity=1, Mode=soln

 1 How many gallons of a 45% salt solution needs to be added to 20 gallons of a 5% salt solution to make a 25% salt solution? gallons 2 You have 7 milliliters of a 35% acid solution. How many milliliters of pure water needs to be added to make a 5% acid solution? milliliters

### Complexity=1, Mode=food

 1 You make a new coffee mixture by adding 48 pounds of Coffee A that cost \$6.15/lb and 24 pounds of Coffee B that cost \$3.18/lb. What is the price of your new coffee mixture? \$ / lb 2 You make a new bean mixture by adding 36 pounds of lima beans that cost \$6.96/lb and 9 pounds of pinto beans that cost \$5.86/lb. What is the price of your new bean mixture? \$ / lb

### Complexity=1, Mode=mixed

 1 You have 10 gallons of a 40% acid solution. How many gallons of a 43% acid solution needs to be added to make a 42% acid solution? gallons 2 How many pounds of macadamia nuts worth \$5.50/lb should be mixed with 18 pounds of almonds worth \$4.15/lb to make a mixture worth \$4.60/lb? lb

## Answers

### Complexity=1, Mode=tickets

#ProblemCorrect AnswerYour Answer
1A ticket booth sold 308 tickets and collected \$1893.50 in ticket sales. Adult tickets are \$8 and child tickets are \$4.50. How many tickets of each type were sold?
Adult: tickets    Child: tickets
Solution
 # Tickets Price Ticket Sales Adult A \$8 (\$8)(A) Child 308 - A \$4.50 (\$4.50)(308 - A) Total 308 ---- \$1893.50

Equation setup: (\$8)(A) + (\$4.50)(308 - A) = \$1893.50

Answer:
 A = 145 tickets 308 - A = 163 tickets

#ProblemCorrect AnswerYour Answer
2A ticket booth sold 446 tickets and collected \$3188 in ticket sales. Adult tickets are \$9 and child tickets are \$2. How many tickets of each type were sold?
Adult: tickets    Child: tickets
Solution
 # Tickets Price Ticket Sales Adult A \$9 (\$9)(A) Child 446 - A \$2 (\$2)(446 - A) Total 446 ---- \$3188

Equation setup: (\$9)(A) + (\$2)(446 - A) = \$3188

Answer:
 A = 328 tickets 446 - A = 118 tickets

### Complexity=1, Mode=soln

#ProblemCorrect AnswerYour Answer
1How many gallons of a 45% salt solution needs to be added to 20 gallons of a 5% salt solution to make a 25% salt solution?
gallons
Solution
 Amount ofsolution % salt Amount ofsalt 45% solution x 0.45 (0.45)(x) 5% solution 20 0.05 (0.05)(20) 25% mixture x + 20 0.25 (0.25)(x + 20)

Equation setup: (0.45)(x) + (0.05)(20) = (0.25)(x + 20)
Answer: x = 20 gallons
#ProblemCorrect AnswerYour Answer
2You have 7 milliliters of a 35% acid solution. How many milliliters of pure water needs to be added to make a 5% acid solution?
milliliters
Solution
 Amount ofsolution % acid Amount ofacid pure water x 0 (0)(x) 35% solution 7 0.35 (0.35)(7) 5% mixture 7 + x 0.05 (0.05)(7 + x)

Equation setup: (0)(x) + (0.35)(7) = (0.05)(7 + x)
Answer: x = 42 milliliters

### Complexity=1, Mode=food

#ProblemCorrect AnswerYour Answer
1You make a new coffee mixture by adding 48 pounds of Coffee A that cost \$6.15/lb and 24 pounds of Coffee B that cost \$3.18/lb. What is the price of your new coffee mixture?
\$ / lb
Solution
 Pounds Price/lb Total Cost Coffee A 48 \$6.15 (\$6.15)(48) Coffee B 24 \$3.18 (\$3.18)(24) Mixture 48 + 24 x (x)(48 + 24)

Equation setup: (\$6.15)(48) + (\$3.18)(24) = (x)(48 + 24)
Answer: x = \$5.16 /lb
#ProblemCorrect AnswerYour Answer
2You make a new bean mixture by adding 36 pounds of lima beans that cost \$6.96/lb and 9 pounds of pinto beans that cost \$5.86/lb. What is the price of your new bean mixture?
\$ / lb
Solution
 Pounds Price/lb Total Cost Lima beans 36 \$6.96 (\$6.96)(36) Pinto beans 9 \$5.86 (\$5.86)(9) Mixture 36 + 9 x (x)(36 + 9)

Equation setup: (\$6.96)(36) + (\$5.86)(9) = (x)(36 + 9)
Answer: x = \$6.74 /lb

### Complexity=1, Mode=mixed

#ProblemCorrect AnswerYour Answer
1You have 10 gallons of a 40% acid solution. How many gallons of a 43% acid solution needs to be added to make a 42% acid solution?
gallons
Solution
 Amount ofsolution % acid Amount ofacid 43% solution x 0.43 (0.43)(x) 40% solution 10 0.4 (0.4)(10) 42% mixture x + 10 0.42 (0.42)(x + 10)

Equation setup: (0.43)(x) + (0.4)(10) = (0.42)(x + 10)
Answer: x = 20 gallons
#ProblemCorrect AnswerYour Answer
2How many pounds of macadamia nuts worth \$5.50/lb should be mixed with 18 pounds of almonds worth \$4.15/lb to make a mixture worth \$4.60/lb?
lb
Solution
 Pounds Price/lb Total Cost Macadamia nuts x \$5.50 (\$5.50)(x) Almonds 18 \$4.15 (\$4.15)(18) Mixture x + 18 \$4.60 (\$4.60)(x + 18)

Equation setup: (\$5.50)(x) + (\$4.15)(18) = (\$4.60)(x + 18)
Answer: x = 9 lb

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