Ajewelry maker will use 24 jade beads and 30 teak beads to make necklaces. each necklace will have the same numbers of jade beads and team beads. what is the greatest number of necklaces she can make? how many beads of each type are on each necklace?

Find the GCF of 24 and 30 to calculate how many necklaces can be made.

24: 2 x 2 x 2 x 3 30: 2 x 3 x 5 GCF: 6

What is leftover (in bold)? that is how many beads are in each of the 6 necklaces.

4 jade beads and 5 teak beads

6 necklaces, 4 jade, 5 teak

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3