Brew BlenderStoryspinners · word problems

Pours two flasks into one: mixture, coin and ticket problems.

Mixture and Coin Problems

Mixture, coin and ticket problems. In MathBound, the free Algebra I adventure game, Brew Blender asks these problems, and the only way past is to solve them.

Part of More topics: taught by some textbooks beyond the usual course.

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10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Coin/Ticket Mixtures. Solve mixture problems with two items of known individual value.
Price/Value Mixtures. Solve mixture problems involving two items with different unit prices.
Concentration Mixtures. Solve concentration problems involving two known percentages (e.g.,acid or alcohol solutions).

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Coin/Ticket Mixtures

A

jar

holds

12

quarters

and

14

dimes .

How

much

money

is

in

the

jar?

$$6.50$
$$4.70$
$$2.60$
$$4.40$

Show the worked steps

$Quarters:$ $12 \cdot $0.25 = $3 .$ $Dimes:$ $14 \cdot $0.10 = $1.40 .$
$Total:$ $$4.40 .$

Answer: $$4.40$

Example 2 · Price/Value Mixtures

How

many

pounds

of

$6

nuts

must

be

added

to

4

pounds

of

$4

nuts

to

make

a

mix

worth

$5.50

a

pound?

$12$
$4$
$1.3$
$16$

Show the worked steps

$Let$ $x$ $be$ $the$ $pounds$ $added:$ $4 (4) + 6 x = 5.5 (4 + x) .$
$0.5 x = 6,$ $so$ $x = 12$ $pounds .$

Answer: $12$

Example 3 · Concentration Mixtures

10

ml

of

a

20%

acid

solution

is

mixed

with

30

ml

of

a

60%

acid

solution.

How

many

milliliters

of

pure

acid

does

the

mixture

hold?

$2$ $ml$
$16$ $ml$
$40$ $ml$
$20$ $ml$

Show the worked steps

$20%$ $of$ $10 = 2$ $ml; 60%$ $of$ $30 = 18$ $ml .$
$Together:$ $20$ $ml$ $of$ $acid.$

Answer: $20$ $ml$

Where it is in your textbook

Textbook	Lessons
Glencoe Algebra 1	2-9
OpenStax Elementary Algebra 2e	3.3

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