1. ## Mixed Nuts

In a mixture of peanuts and cashews, the ratio by weight of peanuts to cashews is 5 to 2.
How many pounds of cashews will there be in 4 pounds of this mixture?

2. I think it's
to the nearest something or other

3. Nice work...and close enough.

4. Really simple, surely?

5. Might be simple to you, but I can't even remember how I got the answer. Now where's my slate and chalk.....?

6. I did it in my head, got 1.14...4/7=.57*2=1.14
Batcher, you used some intuitive shorthand that eludes me.

ok, figured it out, but still wasn't intuitive for me eh (same math, different arrangement)!

7. I must have used the same technique as the BATcher by using a proportional ratio and cross multiplying.

ratio.png

8. ## The Following User Says Thank You to Maudibe For This Useful Post:

BATcher (2013-08-04)

9. There was a time in my life when I could actually make some progress with these types of problems.

10. Maud's illustration is great. In proportional-type problems, the key is to determine the base unit or factor or multiplier
(in this case 5+2 = 7). So, in a 7-unit (pounds) mix, 2 are cashews or 2/7, and 2/7 is the same as X to 4 units (pounds).

Similarly, if a trio plays a concert and gets paid in the ratio of 2:3:4, and they earn a total of \$27,000, how much will each receive? The base unit is 2+3+4 = 9. Therefore, 27,000/9 = 3,000 (our factor). So, 2x3000, 3x3000, and 4x3000. HTH.

11. Your musicians get paid \$27K for a concert?
Cue exodus of all UK musicians...

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