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3 years ago

The ratio of lemons to lime in a punch is 6:4. If there are 35 fruit in the punch, how many of them are lemons?

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Answer:

21 lemons

Step-by-step explanation:

If the ratio is 6:4, the ratio is also equal to 3:2. This means, for every 3 lemons, there are two limes.

So, if there are 35 lemons and limes in total, we would have 21 lemons and 14 limes.

Let me know if this helps!

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<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20for%20%27x%27.%7D%5C%5C%5C%5C%5C%5C3x%20%2B%2056%20%3D235" id="TexFormula1"

3241004551 [841]

Answer:

$x=\frac{179}{3}$

Step-by-step explanation:

We are solving for $x$ in the equation:

$3x+56=235$

First, isolate the variable term by subtracting $56$ from both sides of the equation:

$3x=179$

Now, divide both sides of the equation by the coefficient of $x$ :

$x=\frac{179}{3}$

This solution for $x$ , as a decimal, would be non-terminating. If you divided $179$ into $3$ , you would get the non-terminating decimal of:

$59.66666...$

Therefore, our solution is:

$x=\frac{179}{3}$

We can check our solution by substituting $\frac{179}{3}$ for $x$ in the initial equation:

$3x+56=235$

Substitute:

$3(\frac{179}{3} )+56=235$

Simplify $3(\frac{179}{3} )$ :

$179+56=235$

Add:

$235=235$

Since both sides of the equation are equal, our solution is correct!

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3 years ago

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