The math for Contest #4 must have been too hard for business English learners, so I will make this contest easier.
A number times the number less four is 320.
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Sunday, March 6, 2011
Solution to Contest #4
Four into a number is the product of the square root of the number and two-and-a-half.
"Into" means "divide," but the order is reversed. So "four into a number" is translated into "x / 4"
"is" becomes "="
"product" means a multiplication
"Square Root" is the . . . . . (sorry, this blog does not have the symbol for the square root) SQR
"two-and-a-half" becomes "2.5"
So the English is translated into this equation:
x / 4 = sqr(x) * 2.5
If we clear the fraction (multiply both sides by 4), we get:
x = sqr(x) * 10
Squaring both sides:
x^2 = x *100
Divide both sides by "x":
x = 100
"Into" means "divide," but the order is reversed. So "four into a number" is translated into "x / 4"
"is" becomes "="
"product" means a multiplication
"Square Root" is the . . . . . (sorry, this blog does not have the symbol for the square root) SQR
"two-and-a-half" becomes "2.5"
So the English is translated into this equation:
x / 4 = sqr(x) * 2.5
If we clear the fraction (multiply both sides by 4), we get:
x = sqr(x) * 10
Squaring both sides:
x^2 = x *100
Divide both sides by "x":
x = 100
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