Question

Solve the equation in the photo
A. 16
B.21.3
C.32
D.64

Answer 1

Explanation:

A fast way you can do it is just plug the choices and see which one equals to 16. So like this 1/2(16)+1/4(16)=16. This equals 12 so 16 is incorrect. Or write it like this 0.5(21.3)+0.25(21.3)=16. Writing it in decimal form would be much easier. So plug in the rest and see which one is equal to 16.

Answer 2

x = 64/3 (
`21.\bar{3}` in decimal form)

Explanation:

First, we're going to combine like terms:

`\bf{(1)/(2) x+(1)/(4) x=16}`

We'll find the least common denominator of 2 and 4, which is 4. Now watch what happens

`\bf{\cfrac{1*2}{2*2}+\cfrac{1}{4}x=16}`

`\bf{\cfrac{2}{4}+\cfrac{1}{4}x=16}`

`\bf{\cfrac{3}{4}x=16}`

Multiply both sides by 4

`\bf{3x=16*4}`

`\bf{3x=64}`

Divide both sides by 3

`\bf{x=\cfrac{64}{3}}`

Convert to a decimal:

`\bf{x=21.\bar{3}}`