Question

Angharad had an operation costing $500 She was in hospital for x days The cost of nursing care was $170 for each day she was in hospital a) Write down, in terms of x, an expression for the total cost of her operation and nursing care. b) The total cost of her operation and nursing care was $2370 Work out how many days Angharad was in hospital

Answer 1

a) Total cost =
`500 + 170x`

b) 11 days

Explanation:

Given:

(a)

Number of days in hospital =
`x`

Cost of operation = $ 500

Cost of nursing per day = $170

∴ Cost of nursing for
`x` days = $
`170x`

Therefore, the expression for total cost of her operation and nursing care is given as,

`C=500+170x`, where
`C` is the total cost.

(b)

Given:

Total cost of operation =
`C=\$ 2370`

Using the expression obtained in (a), we solve for
`x`.

`C=500+170x`

Plug in 2370 for C and solve for
`x`. This gives,

`2370=500+170x\\ 170x=2370-500\\ x=(1870)/(170)\\x=11`

Therefore, Angharad stayed in hospital for 11 days.