Amount saved by Nicole is $ 105
Solution:
Given that Patrician saves $ 1.20 everyday and Nicole saves $ 2.80 daily
The two girls saved $ 150.00 together
To find: Amount saved by Nicole
Let "x" be the number of days for which Patrician and Nicole saved money
Given that they both saved $ 150.00 together
So we can frame a equation as:
[tex]\text{(amount saved by patrician + amount saved by nicole) } \times x = 150.00[/tex]
[tex](1.20 + 2.80) \times x = 150\\\\4x = 150\\\\x = 37.5[/tex]
Therefore amount saved by nicole:
Nicole has saved $ 2.80 daily for "x" days
[tex]\text{ Amount saved by Nicole } = x \times 2.80\\\\\text{ Amount saved by Nicole } = 37.5 \times 2.80 = 105[/tex]
Thus amount saved by Nicole is $ 105