Question

- 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?

Answer 1

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

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

`30\%=30/100=0.30`

`15\%=15/100=0.15`

`21\%=21/100=0.21`

we know that

The system of linear equations that model this situation is

`x+y=600` ----> equation A

`0.30x+0.15y=0.21(600)`

`0.30x+0.15y=126` ----> 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