Mixture Word Problems Sample Problems

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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

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

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

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

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

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

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

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

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

Problem

Correct Answer

Your Answer

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

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

Problem

Correct Answer

Your Answer

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

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

Problem

Correct Answer

Your Answer

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

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

Problem

Correct Answer

Your Answer

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

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

Problem

Correct Answer

Your Answer

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

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

Problem

Correct Answer

Your Answer

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

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

Problem

Correct Answer

Your Answer

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

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

Problem

Correct Answer

Your Answer

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?

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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