if Charlie earns 3/4 of what joan earns. and together they earn 490.00 a week. How much does charlie make?
Joan's earnings -- x
Charlie's earnings -- 3x/4
x + 3x/4 = 490
4x+3x=1960
x=280
joan -- 280 , charlie -- 210
To find out how much Charlie makes, we need to set up an equation based on the information given in the question. Let's assume Joan's earnings are represented by "x". According to the given information, Charlie earns 3/4 of what Joan earns. So, Charlie's earnings can be represented as (3/4)x.
Together, Charlie and Joan earn 490.00 a week. So, the equation becomes:
x + (3/4)x = 490
To solve for x, we need to combine like terms:
(4/4)x + (3/4)x = 490
(7/4)x = 490
To isolate x, we can multiply both sides of the equation by the reciprocal of (7/4), which is (4/7):
(7/4)x * (4/7) = 490 * (4/7)
x = 280
Now we know that Joan's earnings are x = 280. To find out how much Charlie makes, we can substitute this value back into (3/4)x:
Charlie's earnings = (3/4) * 280
Charlie's earnings = 210
Therefore, Charlie makes $210.