Problema Solution
charlene makes $10 per house babysitting and $5 per hour gardening. she wants to make at least $80 a week, but can work no more than 12 hours a wee. write a system of linear equations?
Answer provided by our tutors
Let
'x' be the hours that Charlene needs to babysit, then the money she will earn will be 10 * x
'y' be the hours that Charlene needs to do gardening, then the money she will earn will be 15 * y
x and y and non-negative integers that is x > = 0 and y > = 0
She can work no more then 12 hours a week that means x + y < = 12.
She wants to make at least %80 this means 10 * x + 15 * y > 80 that is if we divide both sides of equation by 5 we get
2* x + 3 * y > 18
The system of system of linear inequalities will be
x > = 0
y > = 0
x + y < = 12
2* x + 3 * y > 18