Answer:
75 pounds and 100 pounds.
Step-by-step explanation:
Given:
Bons grocer wishes to mix some nuts worth 90 cents( $0.9) per pound with some nuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound.
Question asked:
How much of each should she use?
Solution:
Let there are two types of nuts mixed in the mixture, one is nut A and another is nut B.
As we know:
1 cent = $0.01
90 cents = $0.01
90 = $0.9
Let quantity of nut A mixed = 
Quantity of nut B mixed = 
Total quantity of mixture = 175 pounds
Total cost of mixture = Cost per pound
Total quantity of mixture in pound
= $1.30
175 = $227.5
As mixture is prepared by mixing two types of nuts:-
Cost per pound of nut A
Quantity mixed + Cost per pound of nut B

By subtracting both sides by 280

Minus canceled by minus

Substituting the value:-
Quantity of nut A mixed =
= 75 pounds
Quantity of nut B mixed =
= 175 - 75 = 100 pounds
Therefore, Bons grocer wishes to mix<u> 75 pounds of nuts worth 90 cents</u> ($0.9) with <u>100 pounds of some nuts worth $1.60 </u>per pound to make 175 pounds of a mixture that is worth $1.30 per pound.