Answer: 3/10
Step-by-step explanation: (1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or
3/10 gallons fills a whole bin...
Answer:
Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.
Step-by-step explanation:
Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.
M = 2R
M - 6 = R + 6
To isolate M, you need to add 6 on both sides.
M - 6 + 6 = R + 6 + 6
M = R + 12
M = 2R
Substitute M for the value above that we found.
R + 12 = 2R
Now we subtract R on both sides, so that only one side has the variable R.
R - R + 12 = 2R - R
12 = R
M = 2R
Substitute for the value of R.
M = 2 x 12
M = 24
To find a percentage of a number, you divide by that number.
So to find what percent of 150 162 is, you divide 162 by 150
162 ÷ 150 = 1.08
Now, to find the percentage, we take the decimal and move the point two places to the right.
1.08 = 108%
162 is 108% of 150.
