Farm

Algebra Level 1

Old McDonald has a farm. There are currently 3 sheep and 5 cows in the barn. After bringing in an additional 10 animals, there are an equal number of cows and sheep in the barn. How many sheep and cows did Old McDonald bring in?

6 sheep, 4 cows 4 sheep, 6 cows 5 sheep, 5 cows

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Christopher Boo by Christopher Boo , 24, Singapore

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3 solutions

x x = number of sheeps added

y y = number of cows added

x + y = 10 \boxed{x+y=10} ( 1 ) \color{#D61F06}(1)

3 + x = 5 + y 3+x=5+y ⟹ \color{#3D99F6}\large \implies x − y = 2 \boxed{x-y=2} ( 2 ) \color{#D61F06}(2)

Adding ( 1 ) \color{#D61F06}(1) and ( 2 ) \color{#D61F06}(2) , we get

x = 6 \large \color{plum}\boxed{x=6}

It follows that

y = 4 \large \color{plum}\boxed{y=4}

9 Helpful 0 Interesting 0 Brilliant 0 Confused
Aman Dubey
Jul 20, 2017

Total number of animals (after bringing 10 animals ) will be 18. So there are 9 sheeps and 9 cows. So we need 6 more sheeps (we have 3 with us) and 4 more cows (we have 5 with us).

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Samuel Moreno
Jul 19, 2017

x = x = number of sheep added. x + 3 = 5 + ( 10 − x ) x+3 = 5+(10-x)

x + 3 = 15 − x x+3 = 15-x

2 x = 12 2x = 12

x = 6 x = 6

Therefore 6 sheep and 10-6 = 4 cows

2 Helpful 0 Interesting 0 Brilliant 0 Confused

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