Question

13. A grocer mixes pecans priced at $4.50 per pound with almonds priced at $5.25 per pound. How
many pounds of each type of nuts should be used to have a total mixture of 14 pounds priced at $4.80
per pound?

Answer 1

Answer:

Almonds =  5 and 3/5  pounds      Pecans  =  8 and  2/5 pounds                  8+5=13         3/5+2/5= 5/5(=1)            13+1 =14            

Step-by-step explanation:

14 pounds at $4.80 =$ 67.20

A=almonds     P = pecans

a+p = 14   p=(14-a)

5.25A + 4.50(14-A) =  67.20

5.25A + 63 - 4.5A= 67.20

0.75A = 4.20

A=5.6            P=   14-5.6 = 8.4

Almonds       5.6*5.25 = 29.4

Pecans           8.4* 4.50= 37.8

29.4 + 37.8 =   67.20