Question

0.60x + 0.40(100 − x) = 50

Answer 1

x = 50

Explanation:

0.6x + 0.4 (100 − x) = 50

Simplify both sides of the equation.

0.6x + 0.4 (100 − x) = 50

0.6x + (0.4)(100) + (0.4)(−x) = 50 (Distribute)

0.6x + 40 + −0.4x = 50

(0.6x + −0.4x) + (40) = 50 (Combine Like Terms)

0.2x + 40 = 50

Subtract 40 from both sides.

0.2x + 40 − 40 = 50 − 40

0.2x = 10

Divide both sides by 0.2.

0.2x/0.2 = 10/0.2

x = 50

Answer 2

x=50

Explanation:

0.60x + 0.40(100 − x) = 50

Distribute

0.60x + 0.40(100 − x) = 50

.6x +40 -.4x = 50

Combine like terms

.2x +40 = 50

Subtract 40 from each side

.2x +40-40 = 50-40

.2x= 10

Divide each side by .2

.2x/,2 = 10/.2

x= 50