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Irina-Kira [14]
2 years ago
6

maria makes soup with 24 total ounces of tomatoes [yellow and red]. there are 3 times as many yellow tomatoes as there are red.

how many ounces of each tomato does she have.
Mathematics
2 answers:
Llana [10]2 years ago
3 0

6oz of red

18oz of yellow

LUCKY_DIMON [66]2 years ago
3 0

ANS:18 ounces of yellow tomatoes and 6 ounces of red tomatoes.

Let the ounces of yellow tomatoes be x

and the ounces of red tomatoes be y.

Now, it is said that there are 24 total ounces of tomatoes of both yellow and red kinds.

So,we get one equation,

x+y=24 ......(1)

Now,it is said that there are 3 times as many yellow tomatoes as there are red.

So, we get another equation as,

x=3y ....... (2)

Now, substituting the value of x from (2) in (1),we get,

3y+y=24

or,4y=24

or,y=6

Then,from (2) we get,

x=3*6=18

ANSWER:18 ounces of yellow tomatoes and 6 ounces of red tomatoes.

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<h3>Further explanation</h3>

<u>Given:</u>

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }

  • A fraction represents part of a whole.
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From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

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\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }

Thus, the result is \boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }

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