Carrie has 340 marbles to put in vases. She wants the vases to hold either 100 marbles or 10 marbles. Which is a way she can arrange the marbles?
100,100,100,10,10,10,10
and many other ways which require more vases.
340 is evenly divisible by 10, but not by 100.
She could put 100 into each of 3 vases and 10 in each of 4 vases.
To find a way Carrie can arrange the marbles, we need to consider the fact that the vases can hold either 100 marbles or 10 marbles.
First, let's figure out how many times the vase can hold 100 marbles. Since each vase can hold 100 marbles, we divide the total number of marbles (340) by 100.
340 ÷ 100 = 3 with a remainder of 40
So, Carrie can fill three vases with 100 marbles each, which would use 300 marbles in total.
Now, let's see what we can do with the remaining 40 marbles. Since the other option is to fill the vase with 10 marbles, we divide the remaining number of marbles (40) by 10.
40 ÷ 10 = 4
Therefore, Carrie can fill four more vases with 10 marbles each.
In summary, Carrie can arrange the marbles by putting three vases with 100 marbles each and four vases with 10 marbles each.