<span><span>let x = cows last year
</span>
</span><span><span>let y = bulls last year
</span>
</span><span><span>x + y = last years total
</span>
</span><span><span>0.9x + 1.5y = 660 (this year's total)
</span>
<span>1.1(x+y) = 660 </span>= </span><span>1.1x + 1.1y = 660
</span><span>
</span><span><span>so:
</span>
</span><span><span>0.9x + 1.5y = 1.1x + 1.1y
</span>
</span><span><span>subtract 0.9x from each side:
</span>
</span><span><span>1.5y = 0.2x + 1.1y
</span>
</span><span><span>subtract 1.1y from each side
</span>
</span><span><span>0.4y = 0.2x
</span>
</span><span><span>to make x 1 multiply both sides by 5
</span>
</span><span><span>2y = x
</span>
</span><span><span>substitute for x in one of the original problems:
</span>
since they had 660 this year and that number is 10%
higher than last year, then we had 600 total last year. </span>
<span><span>So:
</span>
</span><span><span>600 = x + y
</span>
</span><span><span>substitute into that one with the 2y = x
</span>
</span><span><span>600 = 2y + y
</span>
</span><span><span>600 = 3y
</span>
</span><span><span>200 = y
</span>
</span><span><span>then 600 - y = x
</span>
</span><span><span>so 600 - 200 = x
</span>
400 = x</span>
<span> So you had 400 cows and 200 bulls last year</span>
Answer:
Step-by-step explanation:
24.57 cm
Answer:
1, 4, 3, 2, 6, 5
Step-by-step explanation:
There is X pounds of butterscotch
There is Y pounds of peppermint
It costs $2.35 per pound of peppermint
It costs $2.15 per pound of butterscotch
It costs $2.20 per pound of the mixture
It costs $22.00 to buy the whole mixture
To figure it out you have to multiply all of the sides together.
so 24 x 8 x 14 x 8.7 x 8 x 26.
Perimeter of square, 4a = 120
a = 30
diagonal = a√2 = 30√2 yards OR 42.3 yards
