Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case. 20%, 75% and 5% syrup?
Answers
Answer:
1) 2 lbs
2) 0.17 lbs
3) 9.5 lbs
Step-by-step explanation:
Amount of sugar Ella has = 0.5 lbs
Let the amount of water she adds to make the solution = x lbs
So total amount of the mixture would be = (x + 0.5) lbs
Case 1: 20% syrup
20% syrup means the sugar percentage in the mixture should be 20% of the entire mixture. So, 0.5 should be 20% of (x + 0.5). In equation form this can be written as:
0.5 = 20% of (x + 0.5)
0.5 = 0.2(x + 0.5)
Dividing both sides by 0.2, we get:
2.5 = x + 0.5
x = 2 lbs
This means, 2 lbs of water should be added to make 20% syrup solution. So, total syrup she would have will be 2.5 lbs.
Case 2: 75% syrup
75% syrup means the sugar percentage in the mixture should be 75% of the entire mixture. So, 0.5 should be 75% of (x + 0.5). In equation form this can be written as:
0.5 = 75% of (x + 0.5)
0.5 = 0.75(x + 0.5)
Dividing both sides by 0.75, we get:
0.67 = x + 0.5
x = 0.17 lbs
This means, 0.17 lbs of water should be added to make 75% syrup solution. So, total syrup she would have will be 0.67 lbs.
Case 3: 5% syrup
5% syrup means the sugar percentage in the mixture should be 5% of the entire mixture. So, 0.5 should be 5% of (x + 0.5). In equation form this can be written as:
0.5 = 5% of (x + 0.5)
0.5 = 0.05(x + 0.5)
Dividing both sides by 0.05, we get:
10 = x + 0.5
x = 9.5 lbs
This means, 9.5 lbs of water should be added to make 5% syrup solution. So, total syrup she would have will be 10 lbs.
Answer:
20%) 2 lb --> 2.5
75%) 0.17 lb --> 0.67
5%) 9.5 lb --> 10 lb
Hope this helps :)
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Answers
Percent is calculation of quantity per 100 quantity of other thing. The percentage of bikes out of of total surveyed vehicles was 13%
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
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So, number of cars =
Similarly, the number of buses =
Thus, number of bikes = Total vehicles - number of cars and buses
Number of bikes = T - 0.7T - 0.17T = T(1 - 0.87) = 0.13T
Taking its percentage with total vehicles, let it be x% of total vehicles, then
(we could have used short cut that total there is 100%, since number of cars = 70% of total, number of buses = 17% of total, thus
total vehicle's percent being bike = all vehicle (100%) - percent of cars - percent of buses) = (100 - 70 -17)% = 13% )
Thus, the percentage of bikes out of of total surveyed vehicles was 13%
Learn more about percentage here:
Answer:
13%
Step-by-step explanation:
There are three groups: bikes, buses, and cars. The percentages of each must add up to 100%.
bikes + buses + cars = 100%
bikes + 17% + 70% = 100%
bikes + 87% = 100%
bikes = 13%
Answers
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hope that helps :)
Answers
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According to the condition we have linear equation
How to find solution of linear equation in one variable?
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y + 8 = 20
Subtract 8 from both sides.
y = 12
Bella has 12 carrots.
Answers
Answers
Answer:
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Step-by-step explanation:
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We are given the value of which is 3/5 so plug that in:
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Take the square root of both sides: