Blake saved [tex]\bold{\$ 433.80}[/tex]
Option - A
SOLUTION:
Given, Blake and James are planning to go on a trip.
Blake already has some money saved.
Let the amount saved by Blake be [tex]\$ n[/tex].
She earns [tex]\$96[/tex] more by working overtime.
Then, total amount by Blake [tex]=\$(n+96)[/tex]
James has [tex]\$ 53[/tex] more than 4 times the amount of money that Blake has saved.
Then, total amount by James will be [tex]\$ 53+4 \times \$ n=\$(4 n+53)[/tex]
If they have [tex]\$2,318[/tex] in all, we have to find how much money had Blake originally saved
Now, total amount = [tex]\$2318[/tex]
[tex]\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}[/tex]