Answer:
Fruit [tex]=\frac{20}{3}[/tex] pounds
Granola bar [tex]=\frac{40}{3}[/tex] pound
Step-by-step explanation:
Let total fruit [tex]=x[/tex] pound
and total Granola bar [tex]=y[/tex] pound
cost of [tex]1[/tex] pound of fruit [tex]=\$4[/tex]
cost of [tex]1[/tex] pound of Granola bar [tex]=\$1[/tex]
total cost of fruit = total pound [tex]\times[/tex] cost of [tex]1[/tex] pound
[tex]=x\times4\\=4x[/tex]
Total cost of granola bar = total pound [tex]\times[/tex] cost of [tex]1[/tex] pound
[tex]=y\times1\\=y[/tex]
total amount [tex]=\$40[/tex]
[tex]4x+y=40[/tex]
we need at least [tex]20[/tex] of item
[tex]x+y=20[/tex]
[tex]Solve\ 4x+y=40..........(1)\\\\x+y=20............(2)[/tex]
Eqn(1)-eqn(2)
[tex]3x=20\\\\x=\frac{20}{3}[/tex] pound
from eqn(2)
[tex]x+y=20\\y=20-x=20-\frac{20}{3}\\y=\frac{40}{3}[/tex]
