A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernels. There are 1,450 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels are in the last partially filled box?
How many boxes are there: 1450 / 120 = 145/12 =12(1/12)
12 boxes have how many popped kernels: 1/12 x 1450 = 1440
What is the remaining popped kernels: 1450-1440=10
Therefore, the last box have 10 popped kernels.
Answer:
13 boxes, in last box 10 kernels.
Step-by-step explanation:
There are 1450 kernels in a pound.
Each box hold 120 popped kernels
Let 'n' number of boxes have been filled with 1450 kernels and 120 popped kernels in each box.
Therefore, equation will be 120x = 1450
x = \(\frac{1450}{120}\)
= \(12\frac{1}{12}\) boxes
By this answer we understand that 12 boxes have been filled and \(\frac{1}{12}\) part of the last box was filled.
Now number of popcorn kernels in 12 boxes = 12 × 120 = 1440
Remaining kernels for the last box = 1450 - 1440 = 10 kernels
Therefore, 13 boxes required and 13th box will have 10 kernels.