Q) A mixture of 125 galllons of wine and water contains 20% of water.How much water must be added to the mixture in order to increase the percentage of the water to 25% of the new mixture?

Thanks

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- August 24th 2009, 02:55 AMa69356Mixture problem
Q) A mixture of 125 galllons of wine and water contains 20% of water.How much water must be added to the mixture in order to increase the percentage of the water to 25% of the new mixture?

Thanks - August 24th 2009, 05:56 AMearboth
- August 24th 2009, 02:00 PMSoroban
Hello, a69356!

Quote:

A mixture of 125 galllons of wine and water contains 20% water.

How much water must be added to increase the percentage of the water to 25%?

The chart has the formula across the top:

. .

. .

We start with 125 gallons of mixture which is 20% water.

. . We have: . gallons of water.

Write this in the first row:

. .

We add gallons of water (which is 100% water).

. . We add: . gallons of water.

Write this in the second row.

. .

The final mixture has gallons which is 25% water.

. . It contains: . gallons of water.

Write this in the third row.

. .

Read down the last column.

We start with 25 gallons of water, then add gallons of water.

. . Hence, the mixture contains gallons of water. [1]

Read across the last row.

We have gallons which is 25% water.

. . Hence, the mixture contains gallons of water. [2]

We just described the final amount of water inways.*two*

There is our equation!

Got it?