Gregory can buy 4 pounds of wheat flour for $8 and 5 pounds of rye flour for $20. He has $12 to spend on a flour
mixture. What linear equation in standard form can Gregory use to model the situation?​

Respuesta :

Answer:

[tex]2x+4y=12[/tex]

Step-by-step explanation:

step 1

Find the unit rates (Divide the total cost by the number of pounds)

Wheat flour

[tex]\frac{8}{4}=\$2\ per\ pound[/tex]

Rye flour

[tex]\frac{20}{5}=\$4\ per\ pound[/tex]

step 2

Let

x ----> the pounds of wheat flour

y ----> the pounds of rye flour

we know that

The number of pounds of wheat flour multiplied by its unit rate plus the number of pounds of rye flour multiplied by its unit rate is equal to  $12

so

The linear equation in standard form that represent this problem is

[tex]2x+4y=12[/tex]