Answer:
Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Step-by-step explanation:
With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:
x+y=7
Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:
0.45x+0.65y=3.65
You have the following equations:
x+y=7 (1)
0.45x+0.65y=3.65 (2)
Now, you have to solve for x in (1):
x=7-y (3)
Then, you have to replace (3) in (2):
0.45(7-y)+0.65y=3.65
3.15-0.45y+0.65y=3.65
0.20y=0.50
y=0.50/0.20
y=2.5
Finally, you can replace the value of y in (3) to find x:
x=7-y
x=7-2.5
x=4.5
According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Answer:
2 15/26
Step-by-step explanation:
Make them both fractions and find a common demoninator. 8 1/13 = 105/13 and 5 1/2 = 11/2. A common denominator is 26, so 105/13 * 2 = 210/26 and 11/2 * 13 = 143/26. You then subtract the fractions to find out how much is left to walk, 210-143 = 67/26, or 2 15/26.
Work in the rates / minute
wilma:- in 120 minutes she mows 1 lawn
so in 1 minute she mows 1/120 lawn
similarly, Rock mows 1/80 lawn in 1 minute
working together 1/120 + 1/80 = 1/x where x is number of minutes working together
1/20 + 1/80 = 1/48
so 1/x = 1/48
x = 48
answer is 48 minutes
120.8. Make a proportion. 25/100 equals 30.2 over x, the number. Now cross multiply. 100 times 30.2 divided by 25, so it is 120.8.
Another way to reason this is to see that 25 percent is one fourth, so just do 30.2 times 4
6x-2x
6(5)-2(5)
30 - 10 = 20
