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primary 6 | Maths
| Fractions
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I don't know how to find how much Lenny have
Date Posted: 5 years ago
Views: 416
At first,
Tim = Lenny + $180
Let Tim's money be 4 units.
So 4u = Lenny + $180
And thus Lenny = 4u - $180
After giving 1/4 of his money to Lenny (which is 1u)
Tim = 4u - 1u = 3u
So Lenny now has 4u - $180 + 1u
= 5u - $180
And since Lenny now has $170 more than Tim,
5u - $180 = 3u + $170
2u = $350
1u = $175
Lenny's money at first is just 4u - $180, which you can find already.
Tim = Lenny + $180
Let Tim's money be 4 units.
So 4u = Lenny + $180
And thus Lenny = 4u - $180
After giving 1/4 of his money to Lenny (which is 1u)
Tim = 4u - 1u = 3u
So Lenny now has 4u - $180 + 1u
= 5u - $180
And since Lenny now has $170 more than Tim,
5u - $180 = 3u + $170
2u = $350
1u = $175
Lenny's money at first is just 4u - $180, which you can find already.
Alternatively,
notice the total sum of money doesn't change.
Tim's $ at first = Lenny's $ at first + $180
In order for Lenny to have $170 more than Tim, Tim must give Lenny $175.
Tim's $ now
= Lenny's $ at first + $180 - $175
= Lenny's $ at first + $5
Lenny's $ now
= Lenny's $ at first + $175
(Notice that the difference between their new amounts now is $170)
Since $175 is 1/4 of Tim's money at first, you can now figure out Lenny's amount of money at first.
notice the total sum of money doesn't change.
Tim's $ at first = Lenny's $ at first + $180
In order for Lenny to have $170 more than Tim, Tim must give Lenny $175.
Tim's $ now
= Lenny's $ at first + $180 - $175
= Lenny's $ at first + $5
Lenny's $ now
= Lenny's $ at first + $175
(Notice that the difference between their new amounts now is $170)
Since $175 is 1/4 of Tim's money at first, you can now figure out Lenny's amount of money at first.
See 1 Answer
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Take note of the unit that moved up next to Lenny's bar.
Based on deduction , Lenny has $180 less than Tim at first and after receiving 1 unit from Tim, she had $170 (smaller than $180) more than Tim, so the $180 difference should not be more than 2 units.
Hope the model drawing helps.
Based on deduction , Lenny has $180 less than Tim at first and after receiving 1 unit from Tim, she had $170 (smaller than $180) more than Tim, so the $180 difference should not be more than 2 units.
Hope the model drawing helps.
Date Posted:
5 years ago
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