An olive farmer has 375,421 olives to put into jars. It takes 91 olives to fill each jar. After the farmer fills as many jars as possible, how many olives will be left over?
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An olive farmer has 375,421 olives to put into jars. It takes 91 olives to fill each jar. After the farmer fills as many jars as possible, how many olives will be left over olives
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To find out how many olives will be left over after filling the jars, we can use the modulus operation.
1. Total olives: 375,421
2. Olives per jar: 91
To find the number of olives left over, we calculate:
[
375,421 mod 91
]
This means we divide 375,421 by 91 and look for the remainder.
Calculating this, we get:
[
375,421 div 91 approx 4,124.16 text{ (which means 4,124 full jars can be filled)}
]
Now, multiplying the number of full jars by the number of olives per jar to find out how many olives are used:
[
4,124 times 91 = 375,284
]
Finally, we subtract that number from the total number of olives to find the remainder:
[
375,421 – 375,284 = 137
]
So, the number of olives left over is 137.