Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James has $53 more than 4 times the amount of money that Blake has saved.If they have $2,318 in all, how much money had Blake originally saved? A. $433.80 B. $472.20 C. $493.40 D. $455.00

Blake saved [tex]\bold{\$ 433.80}[/tex]Option - ASOLUTION: 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]