- One type of granola has 30% nuts, by
mass. A second type of granola has 15%
nuts. What mass of each type needs to be
mixed to make 600 g of granola that will
have 21% nuts?

Question

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Respuesta :

calculista calculista · Answer 1 · 2020-03-01T14:54:51+01:00

Answer:

Are needed 240 g of granola at 30% nuts and 360 g of granola at 15% nuts

Step-by-step explanation:

Let

x ----> the mass of one type of granola at 30% nuts

y ----> the mass of one type of granola at 15% nuts

Remember that

[tex]30\%=30/100=0.30[/tex]

[tex]15\%=15/100=0.15[/tex]

[tex]21\%=21/100=0.21[/tex]

we know that

The system of linear equations that model this situation is

[tex]x+y=600[/tex] ----> equation A

[tex]0.30x+0.15y=0.21(600)[/tex]

[tex]0.30x+0.15y=126[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both lines

using a graphing tool

the solution is the point (240,360)

see the attached figure

therefore

Are needed 240 g of granola at 30% nuts and 360 g of granola at 15% nuts