The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ?
A) 32
B) 36
C) 44
D) 52
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one horse is fed 110 ounces
total food consumed a day = 13200
therefore number of horses =13200 ÷ 110 = 120
since ratio of sheep to horses = 4 : 15
let the number of sheep is x.
therefore
x : 120 : : 4 : 15
x : 120 = 4 : 15
x(15) = 4(120) {product of extremes = product of means}
x = {4(120)} ÷ 15
x = 480 ÷ 15
x = 32
so option (a) is correct
total food consumed a day = 13200
therefore number of horses =13200 ÷ 110 = 120
since ratio of sheep to horses = 4 : 15
let the number of sheep is x.
therefore
x : 120 : : 4 : 15
x : 120 = 4 : 15
x(15) = 4(120) {product of extremes = product of means}
x = {4(120)} ÷ 15
x = 480 ÷ 15
x = 32
so option (a) is correct
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