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The 8th grade class is putting together bags of candy to sell as a fundraiser tart lemon drops for 4.00 per pound sweet strawberry 13.00 How many pounds t?
Let $$x$$ be the number of pounds of tart lemon drops and $$y$$ be the number of pounds of sweet strawberry. We have the following system of equations:
$$4x + 13y = 80$$
$$x+y=10$$
Solving the second equation for $$x,$$ we get
$$x=10-y$$
Substituting this into the first equation, we get
$$4(10-y)+13y=80$$
$$40-4y+13y=80$$
$$9y=40$$
$$y=\frac{40}{9}$$
Therefore, the 8th grade class should put together
$$10-y=10-\frac{40}{9}=\frac{50}{9}$$
pounds of tart lemon drops and
$$y=\frac{40}{9}$$
pounds of sweet strawberry.
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