Brew BlenderStoryspinners · word problems

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

Mixture Problems with Systems

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 Systems of Equations and Inequalities: chapter 6 of the standard course.

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

What you will practice

Coin and Ticket Problems. Solve coin or ticket problems using a system of two equations.
Concentration and Mixture Problems. Solve chemical or liquid mixture problems involving percentages.
Unit Cost Mixtures. Solve mixture problems involving items with different unit prices.
Simple Interest Problems. Solve investment problems involving two accounts with different interest rates.

Worked examples

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

Example 1 · Coin and Ticket Problems

A

jar

holds

49

coins,

all

dimes

and

quarters,

worth

$8.95 .

How

many

quarters

are

there?

$27$
$49$
$22$
$35$

Show the worked steps

$d + q = 49$ $and$ $10 d + 25 q = 895 .$
$15 q = 405,$ $so$ $q = 27 .$

Answer: $27$

Example 2 · Concentration and Mixture Problems

A

metalworker

melts

an

alloy

that

is

30%

copper

with

one

that

is

60%

copper

to

make

50

kilograms

that

is

57%

copper.

How

many

kilograms

of

the

60%

alloy

are

used?

$5$ $kilograms$
$45$ $kilograms$
$25$ $kilograms$
$50$ $kilograms$

Show the worked steps

$x + y = 50$ $and$ $0.3 x + 0.6 y = 0.57 (50) .$
$Solving$ $gives$ $y = 45$ $kilograms$ $of$ $the$ $60%$ $alloy.$

Answer: $45$ $kilograms$

Example 3 · Unit Cost Mixtures

A

shop

blends

coffee

beans

at

$2

a

pound

with

coffee

beans

at

$4

a

pound

to

make

40

pounds

worth

$2.15

a

pound.

How

many

pounds

of

the

coffee

beans

at

$4

go

in?

$20$ $pounds$
$37$ $pounds$
$3$ $pounds$
$40$ $pounds$

Show the worked steps

$x + y = 40$ $and$ $2 x + 4 y = 86 .$
$Solving$ $gives$ $y = 3$ $pounds$ $of$ $the$ $dearer$ $coffee$ $beans .$

Answer: $3$ $pounds$

Where it is in your textbook

Textbook	Lessons
Standard course	6.4
Big Ideas Math Algebra 1	5.3
Big Ideas Math Algebra 1 (2022)	5.3
Carnegie Learning Algebra I	M2 3.5
CPM Core Connections Algebra	4.3.1
Glencoe Algebra 1	6-5
HMH Into Algebra 1	9.4
Holt McDougal Larson Algebra 1	6.4
Math Nation Algebra 1 (Florida B.E.S.T.)	5.10, 5.11
MVP Mathematics I (Integrated Math 1)	5.8
Open Up NC Math 1 (MVP)	5.8
OpenStax Elementary Algebra 2e	3.3, 5.5
Pearson Algebra 1 Common Core	6-4
Reveal Algebra 1	7-4

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