a store donates 2 3/4 cases of crayons to a daycare center. each case holds 24 boxes of crayon; each box holds 8 crayons. how many crayons did the center receive?
2.75 * 24 * 8 = ?
To find the total number of crayons the daycare center received, we need to multiply the number of cases by the number of boxes in each case and then by the number of crayons in each box.
First, let's convert the mixed number 2 3/4 to an improper fraction. Multiply the whole number (2) by the denominator (4) and add the numerator (3) to get 11. So, 2 3/4 is equivalent to (2*4 + 3) / 4, which is 11/4.
Now, calculate the total number of crayons received by multiplying the following:
Total number of crayons = (Number of cases) × (Number of boxes per case) × (Number of crayons per box)
= (11/4) × (24) × (8)
To simplify the calculation, convert the fraction 11/4 to a mixed number: Divide 11 by 4 to get a quotient of 2 with a remainder of 3. Thus, 11/4 is equal to 2 and 3/4.
Now substitute the values back into the equation:
Total number of crayons = (2 3/4) × (24) × (8)
First, calculate 2 × 24 × 8 = 384. Then, calculate (3/4) × 24 × 8 = 144.
Finally, add both results together to find the total number of crayons received:
Total number of crayons = 384 + 144 = 528.
Therefore, the daycare center received 528 crayons from the store.