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cestrela7 [59]
3 years ago
13

Yall pls help meeeee (brainliest btw)!!!!!

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0
<h2>Answer:</h2>

<u><em>Let m be the amount each mom can paint and d be the amount each daughter can paint.</em></u>

<u><em>On the first day, 8 mothers were painting so the mothers painted 8m square feet. 12 daughters also painted so the daughters painted 12d square feet. The total amount painted on the first day is then 8m+12d square feet. Since 220 square feet was painted on the first day, then 8m+12d=220.  Dividing both sides by 4 gives a simplified equation of 2m+3d=55.</em></u>

<u><em>On the second day, 6 mothers were painting so the mothers painted 6m square feet. 8 daughters also painted so the daughters painted 8d square feet. The total amount painted on the second day is then 6m+8d square feet. Since 152 square feet was painted on the second day, then 6m+8d=152</em></u>

<u><em /></u>

<u><em>Multiply the first equation by -3 and then add it to the second equation to eliminate m and solve for d:</em></u>

<u><em>d=13</em></u>

<u><em>2m+3d=55</em></u>

<u><em>2m+3(13)=55</em></u>

<u><em>2m+39=55</em></u>

<u><em>2m=16</em></u>

<u><em>m=8</em></u>

<u><em>Therefore each mom painted 8 square feet and each daughter painted 13 square feet.</em></u>

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Step-by-step explanation:

We use systems of equations in two variables to solve this problem.

Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : v=\frac{distance}{time}. Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.

Writing the velocity equation for car A (which reached its destination in 24 minutes) is:

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Now we solve for d_A in this last equation and make the substitution in the equation for car A:

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