Question

Vusi makes bead bracelets in different designs. The first design uses 23 beads, the second design uses 29 beads and the third design uses 31 beads. He has 750 beads and he wants to make the same number of bracelets using each design. How many beads will be left?

Answer 1

When the remainder theorem is applied to the total number of beads, the number of beads left is 3

What is remainder theorem?

The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another

The number of beads used in each design are given as:

$First = 23$

$Second = 29$

$Third = 31$

Calculate the total number of beads used for all three designs

$Total =First + Second + Third$

$Total =23 + 29 + 31$

$Total =83$

The number of available beads is:

$Available = 750$

Divide 750 by 83, to get the total number of designs

$n = \frac{750}{83}$

$n =9.03$

Remove decimal (do not approximate)

$n = 9$

The number of beads remaining is calculated using:

$Remaining =Available -n \times Total$

$Remaining =750 -9 \times 83$

$Remaining =3$

Hence, there are 3 beads remaining

Read more about remainder theorem at:

brainly.com/question/13328536