Dolly and Emily went shopping with a total of $114.80. After Dolly spent 0.4 of her money and Emily spent $30.80, they had an equal amount of money left. How much money didi Emily bring along for shopping?

Dolly's share of spending --- $x

Emily's share of spending --- $(114.8-x)

If Dolly spent .4 of her money she has .6 of it left over
Dolly has left over: .6x
Emily has leftover : 114.8 - x - 30.8 = -x + 84

.6x = -x+84
1.6x = 84
x = 52.5

Dolly brought $52.50
Emily brought $62.30

check: is 52.5+62.3 = 114.8 ? YES

Dolly still has .6(52.5) or 31.50
Emily still has 62.3-30.8 = 31.5

all checks out!

thanks for your help

To solve this problem, we can set up an equation based on the given information.

Let's assume that Emily brought along a certain amount of money, which we'll call "x".

1) We know that the total amount of money they had was $114.80:
Dolly's money + Emily's money = $114.80

2) We're also given that after Dolly spent 0.4 of her money, both Dolly and Emily had the same amount of money left:
Dolly's money - 0.4(Dolly's money) = Emily's money - $30.80

Now, let's solve this equation:

1) From the first equation:
Dolly's money + x = $114.80

2) From the second equation:
Dolly's money - 0.4(Dolly's money) = x - $30.80

Now, let's simplify the second equation:

Dolly's money - 0.4(Dolly's money) = x - $30.80
0.6(Dolly's money) = x - $30.80

Now, we can substitute the value of Dolly's money in terms of x from the first equation into the second equation:

0.6(Dolly's money) = x - $30.80
0.6($114.80 - x) = x - $30.80

Now, we can solve for x:

0.6($114.80 - x) = x - $30.80
68.88 - 0.6x = x - $30.80
68.88 + $30.80 = 1.6x
$99.68 = 1.6x
x = $99.68 / 1.6
x = $62.30

Therefore, Emily brought along $62.30 for shopping.