How Many Bracelets Can Juan Make?

Question:

Juan buys a package of 1,326 beads and strings 84 beads on each bracelet. How many bracelets can Juan make from the package, and how many beads are left over?

a) Juan can make 15 bracelets with 6 beads left over.

b) Juan can make 16 bracelets with 42 beads left over.

c) Juan can make 18 bracelets with 78 beads left over.

d) Juan can make 14 bracelets with 60 beads left over.

Answer:

Juan can make 15 bracelets from the package of 1,326 beads, with 6 beads left over. So the correct answer is: a) Juan can make 15 bracelets with 6 beads left over.

Explanation:

First, we need to understand how many bracelets Juan can make from the package. This is found by dividing the total number of beads (1,326) by the number of beads per bracelet (84).

This can be done mentally by realizing that 1,320 (a close approximation to 1,326) can be divided by 84 to get an exact 15 bracelets with no remainder. So, the real operation, 1,326 ÷ 84, will yield slightly more than 15, but it's not possible to make a fraction of a bracelet. So Juan can make 15 bracelets.

Next, to find out how many beads are left over, we subtract the total beads used for the bracelets from the initial number of beads. That's (15 * 84) subtracted from 1,326, which equals 6 beads.

So the correct answer is: a) Juan can make 15 bracelets with 6 beads left over.