Just a basic questions we are having in a competeition
2006-10-22 08:04:23 · 31 answers · asked by Dog man 1 in Education & Reference ➔ Words & Wordplay
x = chickens
y = cows
x + y = 81 ---heads
2x + 4y = 252 --- legs
solve one equation for y
y = 81 - x
substitite into other equation
2x + 4(81 - x) = 252
2x + 324 - 4x = 252
-2x + 324 = 252
-2x = -72
x = 36
36 chickens
solve to find number of cows
y = 81 - 36
y = 45
double check # of cows and chickens with 2nd equation
2(36) + 4(45) = 252
72 + 180 = 252
252 = 252
36 chickens and 45 cows
Hope this helps!!!
2006-10-22 08:22:01 · answer #1 · answered by Angeleyes 2 · 1⤊ 0⤋
there are 81 heads, if they were all chickens there would be 162 legs. But there are 90 more legs, this must mean (90/2) 45 cows and the rest (36 chickens)
check: 36 chickens 72 legs
45 cows 180 legs
total 252 legs
2006-10-22 09:49:35 · answer #2 · answered by used to live in Wales 4 · 1⤊ 0⤋
there are 45 cows,
there are 36 chickens.
45+36 =81 heads.
2 legs a chicken, so 36 x2 =72
4 legs a cow, so 45x4=180
72+180=252 legs.
2006-10-22 08:10:21 · answer #3 · answered by phliuy 2 · 1⤊ 0⤋
enable Cows be X enable poultry be Y subsequently, X + Y = 80 one (Given) (Equation a million) further, 4X + 2Y = 252 (Cows have 4 legs, poultry have 2) (Equation 2) fixing those 2 equations; X + Y = 80 one or 2X + 2Y = 192...(a million) 4X + 2Y = 252...(2) 2Y is cancelled and 2X = ninety => X = 40 5 = variety of Cows putting fee of X in any equation, we get Y = 36 subsequently, cows are 40 5; poultry are 36. (answer)
2016-10-15 07:44:22 · answer #4 · answered by Anonymous · 0⤊ 0⤋
45 cows 36 chickens
2006-10-22 09:54:03 · answer #5 · answered by Kirk_84 4 · 0⤊ 0⤋
45 cows and 36 chickens
2006-10-22 08:21:03 · answer #6 · answered by jayktee96 7 · 0⤊ 0⤋
45 cows and 36 chickens
2006-10-22 08:10:16 · answer #7 · answered by Anonymous · 0⤊ 0⤋
40 chickens 41 cows
2006-10-22 08:08:41 · answer #8 · answered by Anonymous · 0⤊ 0⤋
Well there are 81 heads of cows and 126 chickens.
2006-10-22 08:08:05 · answer #9 · answered by Anonymous · 0⤊ 1⤋
36 chicks and 45 cows
2006-10-22 08:29:06 · answer #10 · answered by PATRICIA L 3 · 0⤊ 0⤋