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