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.