John mixed cashews and almonds. He bought 4 pounds of almonds for $22. The cost per pound for cashews is 60% more than the cost per pound of almonds.
John bought enough cashews that, when he mixed them with the almonds, the mixture had a value of $6.50 per pound.
Approximately what percent of the mixture, by weight, was cashews?
A) 20%
B) 25%
C) 30%
D) 35%

John bought 4 pounds of almonds for a total cost of $22.

almonds cost 22/4 = $5.50 per lb

----------------------------------

-The cost per pound for cashews is 60% more than the cost per pound for almonds.

1.6*5.5 = $8.80 per lb

-----------------------------------

-John bought enough cashews that, when he mixed them with the almonds, the mixture had a value of $6.50 per pound.

Approximately what percent of the mixture, by weight, was cashews?

Equation:

value + value = value

5.5a + 8.8c = 6.50(a+c)

5.5a + 8.8c = 6.5a + 6.5c

-----

1a = 2.3c

----

c = a/2.3

c = 0.435a

------

Total weight = a + c

Total weight = 1.435a

----

Percent of cashews = wt of cashews/total weight

Percent of cashews = 0.435a/1.435a = 38.3%

So, we simplify that...

It will be C) 30℅

Also, tell me if I'm wrong...

12.5 feet

step-by-step explanation: