Maude uses 3/4 of her allowance to get a massage for 3/5 of an hour. What fraxction of her allowance would she need to get a massage for a full hour?
THREE quarters gets THREE fifths of a massage
1/4 allowance for 1/5 massage
a whole hour massage costs 5/4 of her allowance
(3/4)/(3/5) = x/1.
3/4 * 5/3 = x,
X = 15/12 = 5/4.
To find out what fraction of her allowance Maude would need to get a massage for a full hour, we need to calculate the ratio between the time of the desired massage (1 hour) and the time of the initial massage (3/5 hour).
The ratio can be calculated as follows:
1 hour / (3/5 hour) = (1 hour) * (5/3 hour) = 5/3 hour.
To calculate the fraction of her allowance needed for a full hour massage, we need to consider the fraction of her allowance that she used for the initial massage.
Since Maude used 3/4 of her allowance for a 3/5-hour massage, we can set up a proportion:
(3/4) / (3/5) = x / (5/3),
where x represents the fraction of her allowance needed for a full-hour massage.
Simplifying the proportion:
(3/4) * (5/3) = x,
15/12 = x,
5/4 = x.
Therefore, Maude would need 5/4 of her allowance to get a massage for a full hour.
To find out what fraction of Maude's allowance she would need to get a massage for a full hour, we need to determine the ratio between the duration of the desired massage and the duration of the massage she already received.
Given that Maude used 3/4 of her allowance for a massage that lasted 3/5 of an hour, we can calculate the fraction of her allowance required for a full hour massage by using the concept of proportions.
First, let's set up a proportion using the fractions:
(3/5) hour massage / (3/4) allowance = 1 hour massage / x allowance
To solve for x, we need to cross-multiply:
(3/5) * x = 1 * (3/4)
Now we can simplify the equation:
(3x) / 5 = (3) / (4)
To isolate x, we can multiply both sides of the equation by 5:
(3x) = (3) * (5/4)
Finally, divide both sides by 3 to solve for x:
x = (3) * (5/4) / 3
x = 5/4
Therefore, Maude would need 5/4 (or 1 1/4) of her allowance to get a massage for a full hour.