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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 of
solution
% salt Amount of
salt
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 of
solution
% acid Amount of
acid
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 of
solution
% acid Amount of
acid
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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