All of the shoppers in a grocery store are either male or female.

Question

All of the shoppers in a grocery store are either male or female. Are there more than 25 male shoppers in the store?

(1) There are 10 more male shoppers than female shoppers in the grocery store.

(2) 40 percent of the shoppers are female.

Pls explain this.

ENGRTOMBA2018 · Answer

Let T, M and F be the total number of shoppers, male shoppers and female shoppers respectively.

The question asks whether M>25 ?

Per statement 1, M=F+10 , without the value of T, this statement is clearly not sufficient. If T= 50, then F=20, M = 30 ("yes") but if T = 30 , then M = 20 ("no") and F = 10. Thus you get 2 different answers for question asked. Not sufficient.

Per statement 2, F=0.4T --> again clearly not sufficient.

Combining the 2 statements you get, F = 0.4T, M=0.6T and M=F+10 , you have 3 equations to solve for 3 variables. Sufficient.

C is the correct answer.

Hope this helps.

Sirakri · Answer

Let's take shoppers=s; male shppers=m; female shoppers=f Question: IS m>25? Answer can be: TRUE or FALSE, we don't need value here. 1) m=f+10 => we don't know f here, so we don't know if m>25. 2) f=0.4s => we don't need this information alone 1) & 2) We have m=f+10 & f=0.4s Substituting => m=0.4s+10 From this, we can derive m which can be > or < than 25. Hence C

jkolachi · Answer

Actually this is a very easy question.

Remember integer constraint is implied because we are talking about people. It can't be 1/2 or 3/4 of a woman. So 1,2,3,4.... Now first one doesn't tell us much. 10 more females than males so what? There could be 2 females and 12 males or 50 females and 60 females. So that's not the answer.

2) doesn't tell us much either because there could be (remember integers) 4 females and 6 males = 40% females. or 8 females and 12 males. 8/20 is 40%. or There could be 40 females and 60 males....

Add them together, has to be 40% females and 10+ males than females. So think of it as a ratio question:

4 females, 6 males = 40% - less than 10
8 females, 12 males -- still less than 10
12 females, 18 males.... 
16 females, 24 males
20 females and 30 males. BINGO - This satisfies both conditions. 10 more males than females and 40% are females. 20/50 is 40%. So there you have it.

bumpbot · Answer

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All of the shoppers in a grocery store are either male or female.

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