Jamaya is solving a riddle in order to find a mystery number. She knows the number is negative, and that the sum of 1/4 of the number and 2 is equal to the sum of 1/2 of the number and 4. What is the mystery number?

x = -4

Step-by-step explanation:

let x equal the number

so

1/4(-x)+2=1/2(-x)+4

-1/4x + 2 = -1/2x + 4

+1/2x          +1/2x

1/2x + 2 = 4

        -2    -2

1/2x = 2

x = -4

x=-8

Step-by-step explanation:

1/4x+2=2x+16

Multiply by four to get rid of the fractions

X+8=2x+16

Combine like terms

-x=8

x=-8

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.