Question

Caden is making beaded necklaces. Blue and red are his favorite colors, so he buys 50 grams of beads in each color. He switches between the two colors, but he runs out of the red beads first. That makes him wonder how much heavier the red beads are than the blue ones. After counting them, he finds he bought 250 blue beads but only 200 red beads. How many milligrams heavier is a red bead than a blue bead?

Answer 1

Since Caden bought 50 grams of each color and all the blue beads weigh the same and all the red beads weigh the same, we can divide 50 by the number of blue beads to find the weight of a single blue bead:

50 grams / 250 beads = 0.2 grams per blue bead

Similarly, we can divide 50 by the number of red beads to find the weight of a single red bead:

50 grams / 200 beads = 0.25 grams per red bead

To find the weight difference between a red bead and a blue bead, we can subtract the weight of a blue bead from the weight of a red bead:

0.25 grams per red bead - 0.2 grams per blue bead = 0.05 grams per bead

To convert grams to milligrams, we can multiply by 1000:

0.05 grams per bead * 1000 = 50 milligrams per bead

Therefore, a red bead is 50 milligrams heavier than a blue bead.

~~~Harsha~~~