## Question

primary 6 | Maths | Fractions

Anyone can contribute an answer, even non-tutors.

##### Anonymous

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Need help making this easier

Date Posted: 4 months ago
Views: 32
J
4 months ago
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
J
4 months ago
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 = ?

clear {{ downvoteCount * -1 }} Downvotes
1st
Hope this help
Date Posted: 4 months ago
J
4 months 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.
AC Lim
4 months ago
Thanks J.
Some error in the calculations. Will correct it soon.
J
4 months ago
Welcome