Ratio and propotion

Female Ideal Weight - Above Average Height The average height of a woman in the US is 5-foot-4. When considering the weight and height ratio, a 5-foot-5 woman should weigh between 113 and 138, 5-foot-6 between 117 and 143 and 5-foot-7 between 122 and 149. The weight and height ratios continue to increase at approximately 4.5 pounds at the low end and 5.5 pounds at the high end of the range, per inch of height. A 6-foot-tall woman's ideal weight range is 144 to 176 pounds and a 7-foot-tall woman's range is 198 to 242 pounds. Male Ideal Weight -- Under 6 Feet Tall Men have an ideal weight range similar to that of women, but their weights are higher per inch. A man who is 5 feet 11 inches tall has an ideal weight range of 155 to 189 pounds, which is significantly higher than the 140- to 171-pound range for women. Men under 6 feet tall can determine their ideal weight without consulting a height-to-weight ratio table by starting at 5-foot-11 and a weight of 155 to 189 pounds. Simply subtract 5 to 6 pounds per inch from the low of 155 pounds, and 6 to 7 pounds per inch from the high of 189 pounds. Thus, a 5-foot-5 man has a range of 122 to 150 pounds and a 5-foot-tall man has an ideal weight range between 95 and 117 pounds. Are There Ideal Weight and Height Ratios LIVESTRONG COM

Let m represent the subscription rate for a man, and w the subscription rate for a woman.
m/w=4/3, or m=(4/3)w.
2 men and 5 women paid 460. Thus
2m+5w=460.
Substitute (4/3)w for m, in 2m+5w=460.
This gives an equation in the unknown w. Solve for w
2(4/3)w +5w=460 or (23/3)w=460. Answer is w=60
Use this value in the relation m=(4/3)w to get m=80.
Check m/w=80/60=4/3

use simultaneous equations, with x = # of men and y = # of women:
x + y = 5000 --> convert to x = 5000 - y 1.1x + 1.15y = 5600
1.1 (5000 - y) + 1.15y = 5600 5500 - 1.1y + 1.15y = 5600 .05y = 100 y = 2000 plug y = 2000 into x + y = 5000
therefore x = 3000

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