Question

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

Answer 1

Blake saved $\bold{\ 433.80}$

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 $\ n$.

She earns $\ 96$ more by working overtime.  

Then, total amount by Blake $=\ (n+96)$

James has $\ 53$ more than 4 times the amount of money that Blake has saved.  

Then, total amount by James will be $\ 53+4 \times \ n=\ (4 n+53)$

If they have $\ 2,318$ in all, we have to find how much money had Blake originally saved

Now, total amount = $\ 2318$

$\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}$