Question

Sheila makes $50 more a day than Kandice. Kandice has to work twenty days to make same as Sheila makes in fifteen days? How much does each women makes per day?

Answer 1

Answer:Sheila makes $65 per day.

Kandice makes $15 per day.

Explanation:

Let x represent the amount of money that Sheila makes per day.

Let y represent the amount of money that Kandice makes per day.

Sheila makes $50 more a day than Kandice. This means that

x = y + 50

Kandice has to work twenty days to make same as Sheila makes in fifteen days. This means that

15x = 20y - - - - - - - - - - -1

Substituting x = y + 15 into equation 1, it becomes

15(y + 15) = 20y

15y + 75 = 20y

20y - 15y = 75

5y = 75

y = $15

x = y + 50 = 15 + 50

x = $65