Lulu the lucky puts chests of gems into her treasure vault. each chest holds the same number of gems. the table below shows the number of gems lulu received from three different adventures and the number of chests she needed to hold the gems. number of gems number of chests adventure a 600 2 adventure b 1500 5 adventure c 4800 16 write an equation to describe the relationship between g, the number of gems, and c, the number of chests.

g/c=x

6900/23=300

Step-by-step explanation:

g/c=x

g= 600+1500+4800=6900

c= 2+5+16=23

6900/23=300

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

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