Englishfor English speakers
expense
Noun
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An expense is something for which you spend money.
Food is a huge expense for many people around the world.
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An expense is an amount of money that you spend.
If your income is less than your expenses, you have a serious problem.
The company paid all of his expenses when he was in Shanghai.
The building was repaired at great expense.
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If you do mathx/math at the expense of mathy/math, mathx/math hurts mathy/math because it makes mathy/math have less money, less time, less social status, etc.
She often makes jokes at her own expense.
We have to decide whether safety at the expense of freedom is worth the cost.
ratio
Noun
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A ratio is the comparison in size or number between two things. It is written mathx:y/math and read mathx/math to mathy/math. It is the same as the fraction math\frac {x} {y}/math.
The ratio of men's jobs to women's is 8 to 1.
But Germany now has one of the highest ratios of spending to GDP in the European Community.
The low student/teacher ratio makes this a great school.