Solve Inequation Problem with Peanuts and Chocolate Chips

[enoc]

Hi,

I'm stuck in a school assignment and would like some advice if it's not to much bother.


Jim makes high energy biscuits using peanuts and chocolate chips. Jim wanted to make a maximum of 400g of biscuits but wanted the biscuits to contain at least 180g of carbohydrates

1.
If we let the mass of the peanuts be p and the mass of the chocolate chips be c, written an inequation to represent the fact that the total mass must be less than 400g. Assume the mass of chocolate chips is the range(y) and the mass of peanuts is the domain(x)

My answer:

Mass of peanuts = p Mass of chocolate chips = c

p + c < 400

c < 400 - p

Hope that's right

2.
The peanuts provide 30% of their mass in carbohydrates and the chocolate chips provide 60% of their mass in carbohydrates. Write an inequation that represents the fact that the mass of carbohydrates must be greater than 180g.

My answer:

0.30p + 0.60c > 180

0.60c > 180 - 0.30p



Any comments will be much appreciated .
Thanks

 

[cookiemonster]

Looks good to me.

For the last inequality you had,

.60c > 180 - .30p

you might want to divide through by .6 in order to get an expression for only c, i.e.

c > 300 - .5p

cookiemonster

Edit: Fixed.

 

[Hurkyl]

I think cookiemonster has the inequality going the wrong way.


Anyways, do you think you can make the next step, and figure out the range of allowable masses for the peanuts and chocolate chips?