(Page 476 #17)
Here's a table that can from the problem.

Inventory of Clocks and Frequency of Chimes
Types A has 10 clocks. Chimes n times on the nth hour. Chimes once on the half hour.

Type B has 5 clocks. Chimes n times on the nth hour.

Type C has 3 clocks. Chimes once on the hour. Chimes once on the half hour.

The question:
A merchant sells three types of clocks that chime as indicated by the table above. What is the total number of chimes of the inventory of clocks in the 90-minute period from 7:15-8:45?

2. Originally Posted by fabxx
(Page 476 #17)
Here's a table that can from the problem.

Inventory of Clocks and Frequency of Chimes
Types A has 10 clocks. Chimes n times on the nth hour. Chimes once on the half hour.

Type B has 5 clocks. Chimes n times on the nth hour.

Type C has 3 clocks. Chimes once on the hour. Chimes once on the half hour.

The question:
A merchant sells three types of clocks that chime as indicated by the table above. What is the total number of chimes of the inventory of clocks in the 90-minute period from 7:15-8:45?
This seems almost too easy. I hope I'm not misreading something.

Nothing happens at 7:15 or 8:45.

10 Type A clocks chime 10(1)=10 times at 7:30

10 Type A clocks chime 10(8) = 80 times at 8:00 and 10(1)=10 times at 8:30.

Type A clocks chime a total of 100 times.

5 Type B clocks chime 5(8) = 40 times at 8:00. Nothing at 8:30.

Type B clocks chime a total of 40 times.

3 type C clocks chime 3(1) = 2 times at 7:30

3 Type C clocks chime 3(1) = 3 times at 8:00 and 3(1)=3 times at 8:30.

Type C clocks chime a total of 9 times.

This makes the total chimes = 149.

3. But the correct answer is 149.

4. Edited my post to 136. Can't find the other 13 chimes. Maybe someone else will "chime" in and find them.

5. Originally Posted by masters
Edited my post to 136. Can't find the other 13 chimes. Maybe someone else will "chime" in and find them.
you forgot 7:30

type A and type C would chime the required chimes then

at 7:30, Type A will chime 10 chimes in all, and Type C will chime 3. there's your missing 13

6. Originally Posted by Jhevon
you forgot 7:30

type A and type C would chime the required chimes then

at 7:30, Type A will chime 10 chimes in all, and Type C will chime 3. there's your missing 13
Thanks, Jhevon. I never was good a telling time. I've edited my original answer.

7. Originally Posted by masters
I never was good a telling time.
yeah, analog clocks are archaic. who remembers how to read those things?! you're not alone, masters!