Question

One ounce of solution X contains only ingredients a and b in a ratio of 2:3. One ounce of solution Y contains only ingredients a and b in a ratio of 1:2. If solution Z is created by mixing solutions X and Y in a ratio of 3:11, then 2520 ounces of solution Z contains how many ounces of a?

Answer 1

Answer:

Step-by-step explanation:

1st get the ratios into equal groups of 15 parts (multiply solution X by 3 and Solution Y by 5)

X: 2:3 * 3 = 6:9

Y: 1:2 * 5 = 5:10

Then multiply the mixed ratio components by the ingredients in each solution:

Solution x: 6:9 * 3 = 18:27

Solution y: 5:10 * 11 = 55:110

Then sum the results for a 73:137 ratio.

The sum of the ratio components is 210 or 1/3 of 2520 so you have to multiply each component by 12