Question

what combination of fruit and granola bars can you buy? i have a budget of 40$ fruit cost 4$ a pound and the granola bars cost 1$ each and you need at least 20 of them .... pls helpppp!

Answer 1

Fruit
`=(20)/(3)` pounds

Granola bar
`=(40)/(3)` pound

Explanation:

Let total fruit
`=x` pound

and total Granola bar
`=y` pound

cost of
`1` pound of fruit
`=\$4`

cost of
`1` pound of Granola bar
`=\$1`

total cost of fruit = total pound
`*` cost of
`1` pound

`=x*4\\=4x`

Total cost of granola bar = total pound
`*` cost of
`1` pound

`=y*1\\=y`

total amount
`=\$40`

`4x+y=40`

we need at least
`20` of item

`x+y=20`

`Solve\ 4x+y=40..........(1)\\\\x+y=20............(2)`

Eqn(1)-eqn(2)

`3x=20\\\\x=(20)/(3)` pound

from eqn(2)

`x+y=20\\y=20-x=20-(20)/(3)\\y=(40)/(3)`