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 * \$ 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}`