Arcelia plans to make apple pies for an upcoming fundraiser. She will make two t

Question

Arcelia plans to make apple pies for an upcoming fundraiser. She will make two types of apple pies, one type with mostly Granny Smith apples (more tart and less sugar) and another type with mostly Red Delicious apples (sweeter pies). She negotiates a great deal on apples from a local apple farm who gives her 50 Granny Smith apples and 70 Red Delicious apples. If each of the tart pies takes 4 Granny Smith apples and 2 Red Delicious and each of the sweet pies takes 5 Red Delicious apples and 1 Granny Smith apple, how many of each type of pie can she make? Please show steps how to solve.

Explanation / Answer

Arcelia has 50 granny smith apples and 70 red delicious apples

each tart pies takes 4 granny smith apples and 2 red delicious apples

each sweeter pies takes 5 red delicious apples and 1 granny smith apple

let say she makes x tart pies ad y sweeter pies

from the information lets frame the equations

4x + 1y = 50 --------------------- 1st

2x + 5y = 70 --------------------2nd

solving two equations for x and y

multiplying equation 2 by -2 and adding equation 1 to it

4x + 1y = 50

-4x -10y = -140

-----------------------

0   - 9y = -90

y = 10

x = 50-10 / 4 = 10

therefore , she can make 10 tart pies and 10 sweeter pies

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.