Question

Solve.

Answer 1

Answer:

• The greatest number of necklaces she can make is: $6$
• There are 4 jade beads and 5 teak beads  on each necklace.

Step-by-step explanation:

In order to calculate the greatest number of necklaces she can  make, you must find the Greatest Common  Factor (GCF) between 24 and 30.

Descompose 24 and 30 into their prime factors:

$24=2*2*2*3=2^3*3\\\\30=2*3*5$

Multiply the commons with the lowest exponents:

$GCF=2*3\\\\GCF=6$

The greatest number of necklaces she can make is: $6$

Let be "j" the number of  jade beads on each necklace and "t" the number of  teak beads on each necklace.

Dividing the number of jade beads and the number of teak beads she will use by the GCF, you get:

$j=\frac{24}{6}=4\\\\t=\frac{30}{6}=5$