Question

A caterer is making 16 ham sandwiches and 10 turkey sandwiches. Half of the ham sandwiches are on wheat bread. Two of the remaining ham sandwiches are on white and the rest are on rye. Four of the turkey sandwiches are on white. The rest are equally divided onto wheat and rye breads. Which two-way table represents this situation?

Answer 1

@skullpatrol

Answer 2

well first we know that there are 10 turkey sandwiches in total. meaning that the turkey on wheat, white and rye must all add up to 10.

Answer 3

correct

Answer 4

table A says that there are 5 turkeys on wheat 4 on white and 5 on rye

Answer 5

adding those up together you get 14.

Answer 6

We were told 10 were made and 14 doesn't equal 10, so A is incorrect.

Answer 7

Table B has the same problem. The total turkey sandwiches comes up to 14 again.

Answer 8

It has to be c or d because they have 3 +4 + 3

Answer 9

which becomes 7 +3

Answer 10

which becomes 10

Answer 11

So now we've met one condition

Answer 12

we know that there are 16 ham sandwiches and that half of them are wheat.

Answer 13

half of 16 is 16/2 or 8

Answer 14

the only tables that have 8 wheat ham sandwiches are b and d, but we saw before that it can't be b because it has an incorrect number of turkey sandwiches.

Answer 15

We can double check to make sure this is correct. it also said that 2 of the remaining hams where on white and the rest were on rye

Answer 16

so from our initial 16 hams 8 of them were on wheat since that's half
meaning there are 8 remaining because 16 - 8 is 8

Answer 17

2 of them were on white and the rest were rye
8 - 2 = 6

Answer 18

can you just please tell me the answer already my session is about to end

Answer 19

but i do appreciate your explanation

Answer 20

i told you a and b don't work, look at the last two. look at the ham column which one has 8 2 and 6?

Answer 21

D

Answer 22

there you go.