Sheila bought burgers and fries for her children and some friends. the burgers cost $2.05 each and the fries are $.85 each. she bought a total of 14 items, fir a total cost if $19.10. how many of each did she buy?

Let's have B stand for burgers, and F stand for fries.

2.05B+0.85F=$19.10 - This equation is set equal to total price.

B+F=14 - This equation is set equal to total number of items.

Subtract the F in the bottom equation.

B=14-F

Put this in place of B in the first equation.

2.05 (14-F) + 0.85F=19.10

Make sure you distribute the 2.05 properly, over both the 14 and the F.

28.7 - 2.05F+0.85F=19.10

Collect like terms for the F values.

28.7 - 1.2F=19.10

Subtract 28.7 from both sides.

-1.2F=-9.6

Divide by - 1.2 on both sides.

F=8

Put this value in place of F in either equation.

B+8=14

B=6

So F=8 and B=6.