It is noon at the sandwich shop, and Kathy and Jill are making sandwiches for the lunchtime rush. Today's specials are egg salad or ham and cheese. During the first 15 minutes, Kathy makes 5 egg salad sandwiches and Jill makes 7 ham and cheese sandwiches. During the second 15 minutes Kathy makes 9 egg salad and Jill makes 10 ham and cheese. During the third 15-minute period Kathy makes 14 egg salad and Jill makes 14 ham and cheese . In the fourth 15-minute period Kathy makes 20 egg salad, and Jill makes 19. If Kathy and Jill make sandwiches for an hour and a half at this rate, how many sandwiches will each one make during the last 15-minute period?

Question

It is noon at the sandwich shop, and Kathy and Jill are making sandwiches for the lunchtime rush. Today's specials are egg salad or ham and cheese. During the first 15 minutes, Kathy makes 5 egg salad sandwiches and Jill makes 7 ham and cheese sandwiches. During the second 15 minutes Kathy makes 9 egg salad and Jill makes 10 ham and cheese. During the third 15-minute period Kathy makes 14 egg salad and Jill makes 14 ham and cheese . In the fourth 15-minute period Kathy makes 20 egg salad, and Jill makes 19. If Kathy and Jill make sandwiches for an hour and a half at this rate, how many sandwiches will each one make during the last 15-minute period?

Answer 1

Can someone help me please for this question? Thanks in advance.

Answer 2

There are 6, 15 minutes in 1 hr and 30 mins.

First 15 mins Kathy made: 5 egg sandwiches,
2nd 15 mins, she made 9 egg salad, an increase of 4 sandwiches
3rd 15 mins, she made 14, an increase of 5 sandwiches,
4th 15 min, she made 20, an increase of 6 sandwiches. For 5th 15 mins it will be an increase of 7, which will be 27 egg sandwiches and then for the last/6th 15 min an increase of 8, which will be 35 egg sandwiches.

Likewise, Jill has started with 7 ham sandwiches to next 10 sandwiches, an increase of 3 sandwiches, next was an increase of 4 to equal 14, then increase of 5 to equal 19, then increase of 6 to equal 25, then increase of 7 in the 6th 15 mins to equal 32 ham sandwiches.

Answer 3

To find out how many sandwiches Kathy and Jill will make during the last 15-minute period, we need to determine their average rates of sandwich-making based on the data provided.

First, let's calculate the number of sandwiches each person makes per 15-minute period on average:

Kathy's average rate:
(5 sandwiches + 9 sandwiches + 14 sandwiches + 20 sandwiches) / 4 periods = 48 sandwiches / 4 periods = 12 sandwiches per period

Jill's average rate:
(7 sandwiches + 10 sandwiches + 14 sandwiches + 19 sandwiches) / 4 periods = 50 sandwiches / 4 periods = 12.5 sandwiches per period

Now, we can determine how many sandwiches they will make in the last 15-minute period:

Kathy: 12 sandwiches
Jill: 12.5 sandwiches

Since we cannot have a fraction of a sandwich, we will have to round down Jill's average rate to the nearest whole number. Therefore, both Kathy and Jill will make 12 sandwiches each during the last 15-minute period.