contestada

Melanie uses 13
1
3
of her supply of cranberries to make bread and 49
4
9
of her supply of cranberries to make granola. If Melanie uses 7 pounds of cranberries, how many pounds of cranberries are in her supply?

Respuesta :

MrRoyal

Answer:

She has 9 pounds

Step-by-step explanation:

Given

[tex]Bread = \frac{1}{3}[/tex]

[tex]Granola = \frac{4}{9}[/tex]

[tex]Used = 7[/tex]

Required

The total in her supply

Represent the  cranberry with c.

So:

[tex]\frac{1}{3}c + \frac{4}{9}c = 7[/tex] ---- Used cranberry

Take LCM

[tex]\frac{3c + 4c}{9} = 7[/tex]

[tex]\frac{7c}{9} = 7[/tex]

Solve for c

[tex]c= 7 * \frac{9}{7}[/tex]

[tex]c= 9[/tex]