Question

Solve the word problem.

A necklace is made using gold beads and silver beads in the ratio $3˸2$. If there are $32$ silver beads in the necklace, how many beads are there totally in the necklace?

Answer 1

Given,

The ratio of gold beads to silver beads is $3˸2$.

The number of silver beads is $=32$

According to the question,

$\frac{\mathrm{Gold}\mathrm{beads}}{\mathrm{Silver}\mathrm{beads}}=\frac{3}{2}$

$\frac{\mathrm{Gold}\mathrm{beads}}{32}=\frac{3}{2}$

$\mathrm{Gold}\mathrm{beads}=\frac{32\times 3}{2}$

$\mathrm{Gold}\mathrm{beads}=48$ numbers.

The total number of beads$=32+48=80$ numbers.

Hence, the total number of beads in the necklace is $80$.