Jordon had $208.40 & Sandy had $150.20 at 1st. They each spent an equal amount of money at the shop. After that, Jordan had 4 times as much money left as Sandy. How much money did each of them spend?
208.40 - x = 4 (150.20 - x)
Let's assume both Jordon and Sandy spent "x" amount of money at the shop.
After spending the money, Jordon had 208.40 - x dollars left.
Sandy had 150.20 - x dollars left.
According to the given information, Jordon had 4 times as much money left as Sandy.
So, 208.40 - x = 4(150.20 - x)
Simplifying the equation, we have:
208.40 - x = 600.80 - 4x
3x = 600.80 - 208.40
3x = 392.40
x = 392.40 / 3
Therefore, each of them spent x = $130.80.
To figure out how much money each of them spent, we need to set up an equation based on the information given.
Let's say they both spent x amount of money at the shop.
After Jordan and Sandy spent x dollars each at the shop, Jordan had 4 times as much money left as Sandy. Therefore, Jordan had 4 * x dollars left, and Sandy had x dollars left.
Now, we can set up the equation:
208.40 - x = 4 * (150.20 - x)
We subtract x from 208.40 (Jordan's initial amount) because Jordan spent x dollars at the shop. Similarly, we subtract x from 150.20 (Sandy's initial amount) because Sandy also spent x dollars at the shop.
Simplifying the equation, we get:
208.40 - x = 600.80 - 4x
Now, let's solve for x:
Collecting like terms:
-x + 4x = 600.80 - 208.40
3x = 392.40
Dividing both sides of the equation by 3:
x = 392.40 / 3
x ≈ 130.80
Therefore, each of them spent approximately $130.80 at the shop.