MATH Question-Please check.

Question

In a survey of 380 households regarding the ownership of VCRs and DVD players, the following data was obtained:
?
350 households own one or more VCRs.
?180 households own one or more VCRs and one or more DVD players.
?13 households do not own a VCR or a DVD player.
?
How many households only own one or more DVD players?

20 households
29 households
19 households
16 households
17 households
30 households

 

I came up with 30, but I'm not sure.
Please explain. thank you

Answer 1

Make a Venn diagram with two circles labeled V (for VCR) and D(for DVD).

Into the intersection of these circles, place 180;

into the rest of circle V place 170--thus accounting for the 350 households own one or more VCRs. 

Into the area outside all circles place 13. Into the rest of circle d, place unknown value d.

350 + d + 13 = 380. Solve for d.