Algebra, NAP_70046

Question

Three boys start with different amounts of money. If Joe gives Mike $5 and Mike gives Steven $7, the three boys will then have the same amount of money. If Steven had $10 originally, how much more money did Joe have than Mike at the start?

Worked Solution

If MM = Mike's money at start and JJ = Joe's money at start, then
Steven's money (at end) = 10 + 7
= $17
JJ −- 5 = 17
JJ = $22

∴\therefore Joe had $22 at the start
MM + 5 −- 7 = 17
MM = $19

∴\therefore Mike had $19 at the start
Difference = 22 −- 19
= {{{correctAnswer}}}

∴\therefore Joe has {{{correctAnswer}}} more than Mike at the start.

Variant 0

DifficultyLevel

640

Question

Three boys start with different amounts of money. If Joe gives Mike $5 and Mike gives Steven $7, the three boys will then have the same amount of money. If Steven had $10 originally, how much more money did Joe have than Mike at the start?

Worked Solution

If MM = Mike's money at start and JJ = Joe's money at start, then
Steven's money (at end) = 10 + 7
= $17
JJ −- 5 = 17
JJ = $22

∴\therefore Joe had $22 at the start
MM + 5 −- 7 = 17
MM = $19

∴\therefore Mike had $19 at the start
Difference = 22 −- 19
= $3

∴\therefore Joe has $3 more than Mike at the start.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
$3

Answers

Is Correct?Answer
✓

$3

x

$4

x

$5

x

$6

Tags

  • staging_suejones