Question

100POINTS WHY NOT

sally took money from her bank account to go out of town for an audition.she spot 54$ for a round trip ticket and 1/2 of the remaining money on her hotel bill.she spent $7.90 for food and arrived home with $15.10.How much money did Sally take from her bank account??

Answer 1

$100

Explanation:

Given information:

• $54 = cost of ticket
• Cost of hotel = 1/2 remaining money after purchase of ticket
• $7.90 = cost of food
• $15.10 = remaining money

Let x = money taken from bank account

If Sally paid $54 for her ticket, then the money remaining at that point can be defined as:
`x-54`

If the cost of the hotel was half of the remaining money, then:

`\textsf{Cost of hotel}=(1)/(2)(x-54)}`

To find how much money Sally took from her bank account, create an equation with the given information and solve for x.

`\implies \textsf{Money in bank} - \textsf{ticket} - \textsf{hotel} - \textsf{ food} =\textsf{remaining money}`

`\implies x - 54 - (1)/(2)(x - 54)-7.90=15.10`

`\implies x - 54 - (1)/(2)x+27-7.90=15.10`

`\implies (1)/(2)x-34.90=15.10`

`\implies (1)/(2)x=50`

`\implies x=100`

Therefore, Sally took $100 from her bank account.