Let 6x represent the men
5x represents the women
The ratio of men to women is 6 to 5 or 6/5
6x / 5x = 1500/ W where W is the number of women
6/5 = 1500/W
W = 1250 women
Assuming that the triangle is a right triangle, we can reverse engineer the Pythagorean theorem (a^2+b^2=c^2).
60^2 + x^2 = 61^2
3600 + x^2 = 3721
x^2 = 3600 - 3721
x^2 = 121
x = sqrt121
x = 11
3y+14=44
Answer: First step is to subtract 14 from each side
3y = 30 (divide each side by 3)
y = 30/3, y = 10
<span>Cost of maple syrup = $6.00 a Gallon
Cost of corn syrup = 0.80 cents a Gallon
Cost of the syrup mixture = $2.36 a Gallon
There is mixture of 50 Gallons
Lets maple syrup be x gallons, so corn syrup be 50-x gallons
Hence,
6*x + 0.80(50-x) = 2.36*50
6x + 40 - 0.8x = 118
5.2x = 78
=> x = 78/5.2 => x = 15
So Maple will be syrup be 15 gallons.
Corn syrup will be 35 gallons.</span>
