Step-by-step explanation:
We know that 2/3 bottle of red and 4/5 bottle of yellow makes orange paint with a volume of
2/3+4/5.............common denominator is 15
= 10/15 + 12/15 .................................add
= 22/15 bottles.
To make exactly one bottle, we divide the quantities of red and yellow paint by the total volume of 22/15 to get
Red paint = 2/3 divided by 22/15 = 2/3 * 15/22 = 30/66 = 5/11 bottles
Yellow paint = 4/5 divided by 22/15 = 4/5*15/22 = 60/110 = 6/11 bottles
Total volume when mixed = 5/11+6/11 = 11/11 = exactly one bottle.
To make two bottles, we double quantities of each colour,
Red paint = 2*5/11 = 10/11 bottles
Yellow paint = 2*6/11 = 12/11 bottles
for a total of 10/11+12/11 = 22/11 = 2 bottles of mixed paint.
