Ron's Floral Shop needs to mail 286 checks to the bank. If they can put 9 checks in each envelope, how many checks will be in the final envelope?
checks
There will be 8 checks in the final envelope.
To see why, you can first determine how many envelopes Ron's Floral Shop will need to mail all 286 checks by dividing the total number of checks by the number of checks that can fit in each envelope:
286 / 9 = 31.777...
Since you can't have a fraction of an envelope, you would round up to 32 envelopes.
However, this means that not all envelopes will have the same number of checks. If you multiply the number of envelopes by the number of checks per envelope, you will get a total number of checks that is greater than 286:
32 x 9 = 288
So you know that at least one envelope will only have a few checks in it. To figure out exactly how many checks will be in the final envelope, you can subtract the total number of checks that have already been placed in envelopes from the total number of checks:
286 - 31 x 9 = 7
So there are 7 checks left over that will go in the final envelope, along with two empty spaces. Therefore, the final envelope will have 8 checks in it.
To determine the number of checks in the final envelope, we need to find the remainder when dividing 286 by 9 (as each envelope can hold 9 checks).
286 divided by 9 equals 31 with a remainder of 7.
Therefore, the final envelope will have 7 checks.