Ellison's Jewlers displays charms for bracelets in trays that hold 36 charms each the store has 637 charms to put on display in 5 display cases. How many charms are left after the trays are filled ?
How many trays are in each display case?
17
Stupid question. It doesn’t tell you how many trays are in each display..and unless you have a partial tray (which is not possible..the math doesn’t work.)
637/36=17.69
17x36=612
Amount left 637-612=25
To find out how many charms are left after the trays are filled, we need to first determine the total number of charms that can be displayed in the trays.
Since each tray can hold 36 charms, we can calculate the total number of charms that can be displayed in all the trays by multiplying the number of trays by the capacity of each tray.
To find the total number of trays, we divide the total number of charms by the capacity of each tray:
Total number of trays = Total number of charms / Capacity of each tray
Total number of trays = 637 charms / 36 charms per tray
Using long division, we can calculate:
17
_____________
36 | 637
- 36 divides into 63 once, so we put a 1 above the line.
- We then multiply 1 by 36 and subtract it from 63 to get 27.
- We bring down the next digit, which is 7, and now we have 277.
- 36 divides into 277 seven times, so we put a 7 above the line.
- We multiply 7 by 36 and subtract it from 277 to get 5.
Therefore, the total number of trays is 17.
Next, we need to calculate the total number of charms in all the trays by multiplying the number of trays by the capacity of each tray:
Total number of charms = Total number of trays * Capacity of each tray
Total number of charms = 17 trays * 36 charms per tray
Multiplying, we find:
Total number of charms = 612 charms
Now, to find the number of charms left after the trays are filled, we subtract the total number of charms in the trays from the initial number of charms:
Charms left = Initial number of charms - Total number of charms in trays
Charms left = 637 charms - 612 charms
Subtracting, we find:
Charms left = 25 charms
Therefore, there are 25 charms left after the trays are filled.