# pls help (1 Viewer)

#### mathsbrain

##### Member
Question: Sugar is dissolved in water in the ratio 1:3 to form sugar syrup. This sugar syrup is further diluted with the addition of water so that the ratio of the sugar syrup to the additional water is 5:7. FInd the ratio of sugar to water in the final mixture.

#### Accurate

##### member
1/4 times 5/12 = 5/48 (that's how much sugar there is )

the rest is water so 43 (48-5)

I think the answer is 5:43

uh i think i got this wrong though, but i guess this is my quick attempt

edit : its right somehow Last edited:

#### Drdusk

##### π

Last edited:
• DrEuler

5:43 ?

#### idkkdi

##### New Member
If we let original value be 1000mL.

Amount of sugar = 1000 x 1/4 = 250mL, Amount of water = 1000 x 3/4 = 750mL

5:7 ratio sugar with additional water.

1000L x 7/5 = 1400mL additional water.

250: 2150
5:43

Last edited:

#### Accurate

##### member
If we let original value be 1000mL.

Amount of sugar = 1000 x 1/4 = 250mL, Amount of water = 1000 x 3/4 = 750mL

5:7 ratio sugar with additional water.

250mL x 7/5 = 350mL additional water.

250mL: 750mL+350mL
250:1100
5:22
Well using your same method I got 5:43

Let total be 1000ml

250:750 = 1:3

1000:1400 = 5:7

To calculate how much water there is we know that 750ml of that original 1000ml is water, plus add another 1400ml of water so a total of 2150 ML

There is 250 grams of sugar in the solution so 250:2150

= 5/43

5:43

#### Accurate

##### member
They added extra water to the original solution not another mixture

#### idkkdi

##### New Member
My bad, didn't notice sugar SYRUP.

#### AJ_264

##### New Member
God is always the answer.

#### Drdusk

##### π
Its 5:43 confirmed by my 4u state ranking friend haha.
I made a silly error when I said q/(x) = 5/7. It's actually (q+r)/x = 5/7

This should get you 5:43

Last edited:

#### idkkdi

##### New Member
Isn't 48 including sugar?