Hi All,
I have a quick question on a problem that appears in the MGMAT Word Translation book around Venn Diagrams. (for reference it's on page 133 of the 3rd edition; Guide # 4):
"Workers are grouped by their areas of expertise and are placed on at least one team. 20 workers are on the marketing team, 30 are on the sales teams, and 40 are on the Vision team. 5 workers are on both the marketing and sales teams, 6 workers are on both the sales and vision teams, 9 workers are on both the marketing and vision teams, and 4 workers are on all three teams. How many workers are there in total?"
So instead of using a Venn diagram, i was using the general formula:
Total # = A + B + C - (A and B) - (B and C) - (A and C)- 2 * (A & B & C) + other
Since we know each person is in at least one team, the last term is 0. by that formula:
Total # = 20 + 30 + 40 - 5 - 6 - 9 - 2 * (4) = 62
But the official answer works out to be 74 using the Venn diagram method. The Venn way makes sense but now sure what I'm doing wrong in getting the wrong answer w/ the formula?
Thanks!
I have a quick question on a problem that appears in the MGMAT Word Translation book around Venn Diagrams. (for reference it's on page 133 of the 3rd edition; Guide # 4):
"Workers are grouped by their areas of expertise and are placed on at least one team. 20 workers are on the marketing team, 30 are on the sales teams, and 40 are on the Vision team. 5 workers are on both the marketing and sales teams, 6 workers are on both the sales and vision teams, 9 workers are on both the marketing and vision teams, and 4 workers are on all three teams. How many workers are there in total?"
So instead of using a Venn diagram, i was using the general formula:
Total # = A + B + C - (A and B) - (B and C) - (A and C)- 2 * (A & B & C) + other
Since we know each person is in at least one team, the last term is 0. by that formula:
Total # = 20 + 30 + 40 - 5 - 6 - 9 - 2 * (4) = 62
But the official answer works out to be 74 using the Venn diagram method. The Venn way makes sense but now sure what I'm doing wrong in getting the wrong answer w/ the formula?
Thanks!
