Question

I need help on how to understand this please help if possible?

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5v + 7f = 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent.)

Answer 1

$1.75

Explanation:

The cost of each pint of fruit is $2.85 means `f=2.85`
You thus have `5v + 7(2.85)=28.70`
`5v+19.95=28.70`
`5v=28.70-19.95=8.75`
`(5v)/5=(8.75)/5`
`v=1.75`

Answer 2

`$1.75`

Explanation:

`"given the cost of a pint of fruit substitute this value into"`
`"the equation and solve for v"`

`rArr5v+(7xx2.85)=28.7`

`rArr5v+19.95=28.7`

`"subtract 19.95 from both sides"`

`5vcancel(+19.95)cancel(-19.95)=28.7-19.95`

`rArr5v=8.75`

`"divide both sides by 5"`

`(cancel(5) v)/cancel(5)=8.75/5`

`rArrv=1.75`

`"cost of a pint of veggies "=$1.75`