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primary 6 | Maths
| Fractions
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Date Posted: 5 years ago
Views: 299
66 more roses, sold 74 more tulips
Roses = 3u
Tulips = 5u
3u roses - 5u tulips = 66
Roses sold = 1u
Tulips sold = 3u
3u tulips - 1u roses = 74
So 9u tulips - 3u roses = 74 x 3 = 222
3u roses = 9u tulips - 222 ①
From above, we know
3u roses - 5u tulips = 66
Using the result from 1, this becomes
9u tulips - 222 - 5u tulips = 66
4u tulips = 66 + 222 = 288
1u tulips = 288 ÷ 4 = 72
3u roses = 9 x 72 - 222 = 426
1u roses = 426 ÷ 3 = 142
From here you can find the required answers
Roses = 3u
Tulips = 5u
3u roses - 5u tulips = 66
Roses sold = 1u
Tulips sold = 3u
3u tulips - 1u roses = 74
So 9u tulips - 3u roses = 74 x 3 = 222
3u roses = 9u tulips - 222 ①
From above, we know
3u roses - 5u tulips = 66
Using the result from 1, this becomes
9u tulips - 222 - 5u tulips = 66
4u tulips = 66 + 222 = 288
1u tulips = 288 ÷ 4 = 72
3u roses = 9 x 72 - 222 = 426
1u roses = 426 ÷ 3 = 142
From here you can find the required answers
Alternatively, find the common multiple of 3 and 5
3 x 5 = 15
So, let tulips = 15 u
Then roses = 15u + 66
1/3 of roses = (15u + 66) ÷ 3 = 5u + 22
3/5 of tulips = 3/5 x 15u = 9u
9u - (5u + 22) = 74
4u - 22 = 74
4u = 74 + 22 = 96
1u = 96 ÷ 4 = 24
Tulips left = 15u - 9u = 6u
6u = ?
Roses left = 15u + 66 - 5u - 22
= 10u + 44
10u + 44 = ?
3 x 5 = 15
So, let tulips = 15 u
Then roses = 15u + 66
1/3 of roses = (15u + 66) ÷ 3 = 5u + 22
3/5 of tulips = 3/5 x 15u = 9u
9u - (5u + 22) = 74
4u - 22 = 74
4u = 74 + 22 = 96
1u = 96 ÷ 4 = 24
Tulips left = 15u - 9u = 6u
6u = ?
Roses left = 15u + 66 - 5u - 22
= 10u + 44
10u + 44 = ?
See 2 Answers
done
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Correction.
Date Posted:
5 years ago
done
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Hope this help
Date Posted:
5 years ago
There's an error in the working. It should be - 5u - 22 for the 2nd step, not 5u + 22.
And the number of tulips left should be 6u instead of 9u. 9u is the number of tulips sold.
And the number of tulips left should be 6u instead of 9u. 9u is the number of tulips sold.
Thanks J.
Some error in the calculations. Will correct it soon.
Some error in the calculations. Will correct it soon.
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