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olga55 [171]
2 years ago
6

Tony worked 4 2/3 hours on his science project. Sonia worked 1 1/4 times as long on her science project as Tony did.For how many

hours did Sonia work on her science project?
Mathematics
1 answer:
kherson [118]2 years ago
7 0
To find how many hours Sonia work on her science project,we can multiply the working hours of Tony by the times Sonia did:

4 \frac{2}{3}  \times 1 \frac{1}{4}  \\  =  \frac{14}{3}  \times  \frac{5}{4}  \\  =  \frac{70}{12}  \\  = 5 \frac{10}{12}  \\  = 5 \frac{5}{6}
Therefore Sonia work on her science project for 5 5/6 hours.

Hope it helps!
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weqwewe [10]
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... (5x +2y) -(3x +2y) = (7) -(5)

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___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

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_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

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By Cramer's method:

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By graphing, see attached.

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