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Mathematics of sugar water problem
Sugar accounts for 60% of water, water accounts for 62.5% of sugar water, and sugar is 40% less than water.

According to the question, put 30 grams of sugar into 50 grams of water.

Then sugar accounts for 30/50* 100%=60% of water.

Water accounts for 50/(30+50)* 100%= 62.5% of sugar water.

Sugar is less than water (50-30)/50* 100%=40%.

Extended data:

This kind of problem belongs to the percentage problem in mathematics.

Conversion between percentages and decimals

(1) Decimal system: Delete the percent sign and move the decimal point to the left by two places. For example, 75% can be converted into 0.75.

(2) Decimal percentage: add a percent sign and move the decimal point to the right by two places. For example, 0.62 can be converted into 62%

Description:

Conversion between percentage and fraction

(1) Percentalized fraction: Write the percentage as a fraction with the denominator of 100, and then reduce the differential.

Note: When the percentage of molecules is decimal, the molecules should be converted into integers first.

For example:

(2) Percentage of scores:

The numerator of (1) is divided by the denominator to become a decimal and then a percentage.

For example:

② Multiply the numerator denominator by a number at the same time to make the denominator 100, and then turn the denominator into a percentage sign.

For example: