Packaging Tangerines
The produce manager at the grocery store had 410 tangerines. He put some of them into 15 cartons containing 12 tangerines each. He then put the rest into 14 cartons, each containing the same number of tangerines.
How many tangerines were in each of the 14 cartons? Explain how you got the answer.
b. How many tangerines were left?
15 * 12 = 180
14(410 - 180) = ?
is that a. or b.
a
The second equation should be:
(410 - 180) / 14 = ?
To find the number of tangerines in each of the 14 cartons, we need to subtract the number of tangerines in the first 15 cartons from the total number of tangerines.
First, we find the number of tangerines in the first 15 cartons:
15 cartons * 12 tangerines/carton = 180 tangerines.
Next, we subtract the number of tangerines in the first 15 cartons from the total number of tangerines:
410 tangerines - 180 tangerines = 230 tangerines.
Now, we divide the remaining tangerines by the number of cartons to find the number of tangerines in each of the 14 cartons:
230 tangerines / 14 cartons ≈ 16.43 tangerines.
Since we can't have a fraction of a tangerine, we round the answer down to the nearest whole number:
Each of the 14 cartons would have 16 tangerines.
To answer the second question, to find the number of tangerines left, we subtract the number of tangerines in the first 15 cartons and the number of tangerines in the 14 cartons from the total number of tangerines:
410 tangerines - 180 tangerines - 14 cartons * 16 tangerines = 410 tangerines - 180 tangerines - 224 tangerines = 6 tangerines.
Therefore, there were 6 tangerines left.