Rose bought some spinach. She used 3/5 of the spinach on a pan of spinach pie for a party and 3/4 of the remaining spinach for a pan for her family. She used the rest of the spinach to make a salad. What fraction of the spinach did she use ti make the salad?b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?
Accepted Solution
A:
Quantity of spinach that Rose bought: x
Quantity used on the pan of spinach pie for the party: (3/5)x
Quantity used on a pan for her family: (3/4)(2/5)x=[(3*2)/(4*5)]=(6/20)x Quantity used on a pan for her family:(3/10)x
Quantity use to make the salad: x-(3/5)x-(3/10)x=(1-3/5-3/10)x Quantity use to make the salad: [(10*1-2*3-1*3)/10]x=[(10-6-3)/10]x Quantity use to make the salad: (1/10)x
a. What fraction of the spinach did she use to make the salad? She used 1/10 of the spinach to make the salad.
b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?
Quantity used on the pan of spinach pie for the party: (3/5)x= 3 pounds Quantity used to make the salad: (1/10)x=?
We need to find x. Solving for x in the quantity used on the pan of spinach pie for the party: (3/5)x=3 pounds (5/3)(3/5)x=(5/3)(3 pounds) x=15/3 pounds x= 5 pounds
Quantity of spinach that Rose bought: x= 5 pounds
Now we can find the quantity used to make the salad: (1/10)x=(1/10)(5 pounds)=(5/10) pounds=(1/2) pound = 0.5 pound
Answer: Quantity used to make the salad is 1/2=0.5 pound