Question

- One type of granola has 30% nuts, by

Answer 1

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

$30\%=30/100=0.30$

$15\%=15/100=0.15$

$21\%=21/100=0.21$

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