An arts supply store has 28 pounds of modeling clay to ship to a client. Each packing box can contain no more than
3/4
pound of modeling clay. Which statement is true?
A. The store will need exactly 21 boxes for the shipment.
B. The store will need exactly 37 boxes for the shipment.
C. The store will need exactly 38 boxes for the shipment, with
1/4
pound of clay going into the last box.
D. The store will need exactly 38 boxes for the shipment, with
1/3
pound of clay going into the last box.
Help please :(
this will involve
dividing the amount available by the amount per box
To determine the correct statement, we need to divide the total weight of the modeling clay by the maximum weight that can be packed in each box.
Total weight of modeling clay: 28 pounds
Maximum weight per box: 3/4 pound
To find the number of boxes needed, we divide the total weight (28) by the weight per box (3/4):
28 / (3/4) = 28 * (4/3) = 112/3 ≈ 37.33
Since we cannot have a fraction of a box, we need to round up to the nearest whole number of boxes. Therefore, we will need 38 boxes for the shipment.
Now, let's go through the answer choices:
A. The store will need exactly 21 boxes for the shipment.
This answer is incorrect as we determined that we need 38 boxes, not 21.
B. The store will need exactly 37 boxes for the shipment.
This answer is incorrect as we calculated that we will need 38 boxes, not 37.
C. The store will need exactly 38 boxes for the shipment, with 1/4 pound of clay going into the last box.
This answer is correct. We determined that we need 38 boxes, and the statement mentions that 1/4 pound of clay goes into the last box.
D. The store will need exactly 38 boxes for the shipment, with 1/3 pound of clay going into the last box.
This answer is incorrect. While we determined that we need 38 boxes, the statement mentions that 1/3 pound of clay goes into the last box, not 1/4 pound.
Therefore, the correct answer is C. The store will need exactly 38 boxes for the shipment, with 1/4 pound of clay going into the last box.