30138

Question

{{name1}} collected {{number1}} {{item}} for recycling by himself.

{{name2}} and her {{number2}} girlfriends collected {{item}} for recycling as well. The average number collected by each girl was half the number that {{name1}} collected.

What is the total number of {{item}} collected by {{name2}} and her {{number2}} girlfriends?

Worked Solution
Average = 12×number1\dfrac{1}{2} \times {{number1}}
= {{avg}}

∴\therefore Total {{item}}
= {{number3}} ×\times {{avg}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

563

Question

Melvin collected 148 aluminum cans for recycling by himself.

Kelly and her three girlfriends collected aluminum cans for recycling as well. The average number collected by each girl was half the number that Melvin collected.

What is the total number of aluminum cans collected by Kelly and her three girlfriends?

Worked Solution
Average = 12×148\dfrac{1}{2} \times 148
= 74

∴\therefore Total aluminum cans
= 4 ×\times 74
= 296

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Melvin
number1
148
item
aluminum cans
name2
Kelly
number2
three
avg
74
number3
4
correctAnswer
296

Answers

Is Correct?Answer
x

180

x

254

✓

296

x

360

Variant 1

DifficultyLevel

563

Question

Michael collected 126 bottles for recycling by himself.

Sarah and her four girlfriends collected bottles for recycling as well. The average number collected by each girl was half the number that Michael collected.

What is the total number of bottles collected by Sarah and her four girlfriends?

Worked Solution
Average = 12×126\dfrac{1}{2} \times 126
= 63

∴\therefore Total bottles
= 5 ×\times 63
= 315

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Michael
number1
126
item
bottles
name2
Sarah
number2
four
avg
63
number3
5
correctAnswer
315

Answers

Is Correct?Answer
x

252

✓

315

x

378

x

630

Variant 2

DifficultyLevel

563

Question

Raphael collected 134 ink cartridges for recycling by himself.

Rhonda and her four girlfriends collected ink cartridges for recycling as well. The average number collected by each girl was half the number that Raphael collected.

What is the total number of ink cartridges collected by Rhonda and her four girlfriends?

Worked Solution
Average = 12×134\dfrac{1}{2} \times 134
= 67

∴\therefore Total ink cartridges
= 5 ×\times 67
= 335

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Raphael
number1
134
item
ink cartridges
name2
Rhonda
number2
four
avg
67
number3
5
correctAnswer
335

Answers

Is Correct?Answer
x

268

x

297

✓

335

x

402

Variant 3

DifficultyLevel

563

Question

Robin collected 86 newspapers for recycling by himself.

Moana and her five girlfriends collected newspapers for recycling as well. The average number collected by each girl was half the number that Robin collected.

What is the total number of newspapers collected by Moana and her five girlfriends?

Worked Solution
Average = 12×86\dfrac{1}{2} \times 86
= 43

∴\therefore Total newspapers
= 6 ×\times 43
= 258

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Robin
number1
86
item
newspapers
name2
Moana
number2
five
avg
43
number3
6
correctAnswer
258

Answers

Is Correct?Answer
x

215

x

227

✓

258

x

301

Variant 4

DifficultyLevel

563

Question

Winnie collected 122 bottles for recycling by himself.

Lucy and her five girlfriends collected bottles for recycling as well. The average number collected by each girl was half the number that Winnie collected.

What is the total number of bottles collected by Lucy and her five girlfriends?

Worked Solution
Average = 12×122\dfrac{1}{2} \times 122
= 61

∴\therefore Total bottles
= 6 ×\times 61
= 366

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name1
Winnie
number1
122
item
bottles
name2
Lucy
number2
five
avg
61
number3
6
correctAnswer
366

Answers

Is Correct?Answer
x

305

✓

366

x

427

x

511