Mixture Word Problems Sample Problems

Math Practice Online > free > lessons > Ohio > 9th grade > Mixture Word Problems

If your child needs math practice, click here.

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

MathScore.com