Question

The Total number of cherries on a plate, in a cup, and in a bowl is 780. The plate contains 145 cherries. The number of cherries in the bowl is 4 times the total number of cherries on the plate and in the cup. How many cherries are in the cup?

Answer 1

Let X be the number of cherries in the cup.
We know that the total number of cherries in the plate, in the cup, and in the bowl is 780.
The plate contains 145 cherries.
The number of cherries in the bowl is 4 times the total number of cherries on the plate and in the cup.

So we can set up an equation using this information:

X (number of cherries in the cup) + 145 (number of cherries in the plate) + 4(X + 145) (number of cherries in the bowl) = 780

Now we can solve for X:

X + 145 + 4X + 580 = 780

5X = 780 - 145 - 580

5X = 55

X = 11

Therefore, there are 11 cherries in the cup.