SOLUTION: 50% of 90 is the same as 40% of this number

Question 812423: 50% of 90 is the same as 40% of this number

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
When a problems mentions "[fraction or percent] of [some number]", the "of" translates into a multiplication. And if it says percent, like your problem, use the fraction or decimal equivalent of the percents. (Do not use actual percents in arithmetic!)

So, using 0.50 for 50%, 0.40 for 40% and x for the unknown number, "50% of 90 is the same as 40% of this number" translates into:
0.50 * 90 = 0.40 * x
Now we just solve for x. First we simplify the left side:
45 = 0.40x
Now we divide by 0.40:
45/0.40 = x
which simplifies to:
112.5 = x

RELATED QUESTIONS
90% of 50 is what... (answered by jim_thompson5910)

90 is 40% of what... (answered by checkley77)

the result of adding 90 to a number is the same as multiplying that number by 6.find the... (answered by reviewermath)

What number is 2 more tens than 40 and the same number of ones as... (answered by TimothyLamb)

1. The distribution of Intelligence Quotient (I.Q.) scores measured for 100 students in a (answered by Fombitz)

which of the following is the same as five less than a number d is... (answered by stanbon)

How is 60% of 40 the same as 25% of a... (answered by richwmiller)

I need as many details as Possible. Thank you. The histogram below shows the... (answered by stanbon)

50% of some number is 7 minus the same... (answered by ptaylor)