Let n be the number of lbs of nuts.
Let r be the number of lbs of raisins.
9n + 3r = 60 * 5 = 300 .............(1)
n + r = 60
n = 60 - r ...............(2)
Plugging the expression for n in (2) into (1) we get:
9(60 - r) + 3r = 300
which expands to:
540 - 9r + 3r = 300 .............(3)
Simplifying and rearranging (3) we get:
-6r = -240
Therefore r, the weight of raisins = 40 lbs
and the weight of nuts is 60 - 40 = 20 lbs
The second one on the top right
When baking and you need to know whether you have to buy a half a gallon or a gallon:)
Answer:
1.2Litres
Question:
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?
Step-by-step explanation:
Let the total punch bowl be = P
Portion of Orange juice = ½ of total punch bowl
= ½ × P = P/2
Portion of grape = ½ of the remaining space
Remaining space = P - P/2 = P/2
Portion of grape = ½ × P/2 = P/4
The rest of the punch bowl is for cherry = 300mL
P/2 - P/4 = 300
(2P - P)/4 = 300
P/4 = 300
P = 300×4
P = 1200mL
1mL = 10^(-3)L
P = 1.2 ×10³ × 10^(-3)L
P = 1.2L
Wes made 1.2liters of fruit punch.
If you let x be the number to get 8 more you add so it would be x+8
