In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts

Question

In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?

A. 16 2/3%
B. 20%
C. 25%
D. 33 1/3%
E. 35%

let x=% of peanuts in bowl
.3*1+.4*.5=x*1.5
x=1/3=33 1/3%
D.

A. 16 2/3%
B. 20%
C. 25%
D. 33 1/3%
E. 35%

Skywalker18 · Answer

Let number of mixed nuts in first can = 100
Number of peanuts in first can = (30/100)*100 = 30

Since second can is one- half of first , number of mixed nuts in second can = 50
Number of peanuts in second can = (40/100)*50 = 20

Total number of peanuts in both cans = 30+20 = 50
Total number of mixed nuts in both cans = 100+50 = 150
% of peanuts if both cans are mixed = (50/150) *100% = 33.33 %

Answer D

y4nkee · Answer

Wow this one is actually really reason if you see that it is a simple mixture problem:

Can 1: size 1; 30% nuts
Can 2: size 0.5 and 40% nuts

Can1+Can2= 1+0.5=0.5

(1x0.3+0.5x0.4)/1.5=33.33

rhine29388 · Answer

Consider the number of nuts in larger can be 100
so the number of nuts in the smaller can which is half the size of the larger can the number of nuts is 50

30 % of nuts in larger can are peanuts = .3 *100 = 30
40 % of nuts in smaller can are peanuts = .4 * 50 = 20

Total number of peanuts both cans combined = 30 + 20 = 50
Total number of nuts in both cans combined = 100 + 50 = 150

% of peanuts in combined mix =  \frac{50}{150}  * 100 = 33  \frac{1}{3}  %

correct answer - D

gracie · Answer

In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?

A. 16 2/3%
B. 20%
C. 25%
D. 33 1/3%
E. 35%

let x=% of peanuts in bowl
.3*1+.4*.5=x*1.5
x=1/3=33 1/3%
D.

A. 16 2/3%
B. 20%
C. 25%
D. 33 1/3%
E. 35%

let x=% of peanuts in bowl
.3*1+.4*.5=x*1.5
x=1/3=33 1/3%
D.

v12345 · Answer

(30%*100)+(40%*50)=(x*150)
=> x=50/150 = 33.33
Answer choice (D)

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bumpbot · Answer

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In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts

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In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts

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