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Alekssandra [29.7K]
3 years ago
10

Isobel and Marnie volunteer at a daycare center. Isobel works 3 hours for every 2 hours Marnie works. If the 2 girls together wo

rk 20 hours one month, how many hours does Isobel work?
Mathematics
1 answer:
stealth61 [152]3 years ago
3 0
Isobel =I  
Marnie =M
I(X) + M(X) = 20
3x + 2x =20
5x =20
divide by 5 both sides
5x/5 = 20/5
x = 4
then multiply I hours by 4  and M hours by 4

3(4) + 2(4) =20
12+ 8 = 20

Isobel worked a total of 12 hours and Marnie worked a total of 8.  
Hope this helps

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<em>See the image in the attachment for the referred diagram.</em>

<em />

  • The two triangles, triangle AEC and triangle BDC are similar triangles.
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