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In Jefferson School, 300 students study French or Spanish or [#permalink]
13 Dec 2006, 13:03

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In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?

(1) Of the 300 students, 60 do not study Spanish.
(2) A total of 240 of the students study Spanish

If 100 do not study French then doesn't that mean that 200 do study French?

Yes, but also consider that some of the 200 can also study spanish. If you want to identify the students who study only french, then you will need to exclude the spanish students from this group.
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If 100 do not study French then doesn't that mean that 200 do study French?

Yes, but also consider that some of the 200 can also study spanish. If you want to identify the students who study only french, then you will need to exclude the spanish students from this group.

You can't use 300 as the total since 300 is people who studies French, Spanish, or BOTH.....the chart has a NEITHER column so you can't use 300 as the total.

One question for ncparad:

F+100-(F&S)=300

(1) Of the 300 students, 60 do not study Spanish.
==> F=60.
Substituting this in the equation, we get F&S=140.So sufficient.

When I plug in the 60, I get 160-(FuS)=300 and a negative 140. Maybe it's late and I can't think but it shouldn't be a negative number.

You can't use 300 as the total since 300 is people who studies French, Spanish, or BOTH.....the chart has a NEITHER column so you can't use 300 as the total.

One question for ncparad:

F+100-(F&S)=300

(1) Of the 300 students, 60 do not study Spanish. ==> F=60. Substituting this in the equation, we get F&S=140.So sufficient.

When I plug in the 60, I get 160-(FuS)=300 and a negative 140. Maybe it's late and I can't think but it shouldn't be a negative number.

can someone clarify this ? i get a negative 140 with this formula as well (F+S-FS=300)

i do get a +140 with seeing S as S=100+SF (from the stem sayin 100=S-SF)