So the percentage would be 40% and then the ratio would be 3:4
A+c=100
3a+2c=275, from the first c=100-a making the 2nd equation become:
3a+2(100-a)=275 perform indicated multiplication on left side
3a+200-2a=275 combine like terms on left side
a+200=275, subtract 200 from both sides
a=75, and since c=100-a
c=100=75=25
So the answer is D. 25 children and 75 adults
Equation 1: a+c=100
Equation 2: 3a+2c=275
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Explanation:
The third choice is very useful. It's valid because two things that are both equal to 'y' are equal to each other, and it can be easily solved to find 'x'.
Step One
Find the sum of the fractions for Monday and Tuesday
1/2 + 2/5
The common denominator for these 2 days is 10
1/2: 1*5/(2*5) = 5/10
2/5:2*2/(2*5) = 4/10
Add these two equivalent fractions together.
5/10 + 4/10 = 9/10
The first 2 days resulted in 9/10 of the shed being completed.
Step Two
Find out how much (in terms of fractions) is left of the shed.
Let the whole shed = 1
Let what has been done = 9/10
What remains is 1 - 9/10 = 1/10
Answer: 1/10 of the shed needs to be done
