Question

1) Gabe? Amodeo, a nuclear? physicist, needs 80 liters of a 30% acid solution. He currently has a 20 % solution and a 60 % solution. How many liters of each does he need to make the needed 80 liters of 30% acid? solution

2) Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original price of? $9.50 for each? piece, but later decreased the price of each piece by? $2. If they sold all 90 pieces and took in $719?, find how many pieces they sold at the original price and how many pieces they sold at the reduced price.

Answer 1

1) let he needs x litres of 20% and y litres of 60% solution

x + y = 80

.20x +.60y = .30 * 80

solving the equations for x and y

hence, 60 litres of 20% solution and 20 litres of 60% solution is needed to make 80 litres