Algebra, NAP_70047
Question
Three boys start with different amounts of money. If Ryan gives Jeet $1 and Jeet gives Kevin $5, then the three boys will then have the same amount of money.
If Kevin had $2 originally, how much more money did Jeet have than Ryan at the start?
Worked Solution
If J = Jeet's money at start and R = Ryan's money at start, then
|
|
Kevin's money (at the end) |
= 2 + 5 |
|
= $7 |
∴ Ryan had $8 at the start
|
|
J + 1 − 5 |
= 7 |
J |
= 11 |
∴ Jeet had $11 at the start
|
|
Difference |
= 11 − 8 |
|
= {{{correctAnswer}}} |
∴ Jeet has {{{correctAnswer}}} more than Ryan at the start.
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
Variant 0
DifficultyLevel
642
Question
Three boys start with different amounts of money. If Ryan gives Jeet $1 and Jeet gives Kevin $5, then the three boys will then have the same amount of money.
If Kevin had $2 originally, how much more money did Jeet have than Ryan at the start?
Worked Solution
If J = Jeet's money at start and R = Ryan's money at start, then
|
|
Kevin's money (at the end) |
= 2 + 5 |
|
= $7 |
∴ Ryan had $8 at the start
|
|
J + 1 − 5 |
= 7 |
J |
= 11 |
∴ Jeet had $11 at the start
|
|
Difference |
= 11 − 8 |
|
= $3 |
∴ Jeet has $3 more than Ryan at the start.
Question Type
Multiple Choice (One Answer)
Variables
Variable name | Variable value |
correctAnswer | |
Answers