Question

Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric receive (Disregard the $ sign when gridding your answer.)

Answer 1

Abel receives $60, and Cedric receives $120

Explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180 - - - - - (1) (Abel and Cedric will share a total of $180)

`A = (C)/(2)\ - - - - - - - (2)` (Abel will receive half as much as Cedric. )

from equation 2:

`A = (C)/(2)\\ C = 2A\ - - - - - - (3)`

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120