Ratio Question

Question

There were 400 bottles of peach and orange juice. The ratio of peach to orange juice was 5:3. If 90 bottles of peach juice and 30 bottles of orange juice were sold, what is the ratio of the remaining peach juice: orange juice?

Answer 1

The ratio is 5:3 peach to OJ, and 5 + 3 = 8, so 5/8 of the original bottles are peach and 3/8 are OJ. 5/8 * 400 = 250, and 3/8 * 500 = 150. Originally there were 250 bottles of peach and 150 of OJ.

 

90 bottles of peach were sold out of 250 originals, so 250 - 90 = 160 peach bottles left. 30 OJs were sold out of 150; 150 - 30 = 120.

 

So now you have 160 bottles of peach and 120 of OJ. The ratio is 160:120. We can reduce this to lowest terms by dividing both by 40, giving a ratio of 4:3. Final answer: peach to OJ is now 4:3.

 

You might want to check the arithmetic, as I didn't do this on paper.

Answer 2

400 bottles

peach/orange=5:3

400/(5+3)=400/8=50

50*5=250 peach

50*3=150 orange

P/O=250/150

(250-90)/(150-30)=160/120

160/120

16/12

4/3

4:3 is the ratio now

Answer 3

The starting ratio was 5:3.

250 orange : 150 peach

New ratio

250 - 30 : 150 - 90

220 : 60

22 : 6

11 : 3