Answer:

Explanation:
Let the full batch be x
Here given:
3/4 cup of sugar required to make 1/3 batch of cookies
Build equation:

Solve:



6z -4 - z + 10 = -9
Combine like terms
5z + 6 = -9
Subtract both sides by 6
5z = -15
Divide both sides by 5
z = -3
Have an awesome day! :)
For 52 I would be 13x4
For 42 it would be 7x6
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Set up the division problem in long division format.<span><span>44</span><span>77</span></span>Move the decimal the same amount of places in both numbers until the divisor is a whole number.<span><span>44</span><span>77</span></span>Divide <span>77</span> by <span>44</span> to get <span>11</span>. Place this next digit in the quotient on top of the division symbol.<span><span>11</span><span><span>44</span><span>77</span></span></span>Multiply the newest quotient digit (<span>11</span>) by the divisor <span>44</span>.<span><span>11</span><span><span>44</span><span>77</span></span><span><span>−-</span> <span>44</span></span></span>Subtract <span>44</span> from <span>77</span> to get <span>33</span>.<span><span>11</span><span><span>44</span><span>77</span></span><span><span>−-</span> <span>44</span></span><span>33</span></span>The result of the division of <span><span>74</span><span>74</span></span> is <span>11</span> with a remainder of <span>33</span>.<span>11</span> <span>or</span> <span>33</span>Use the long division solution to convert the original fraction <span><span>(<span>74</span>)</span><span>74</span></span> to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction <span><span>(1)</span>1</span>, and the fraction portion of the mixed number will be the remainder of the original fraction division <span><span>(3)</span>3</span> over the denominator of the original fraction <span><span>(4)</span>4</span><span>1<span><span>34</span></span></span>