# Thread: Solving Problems Involving Inequalities

1. ## Solving Problems Involving Inequalities

I don't know what it is about this prob. but every time I read it I get all crossed and confused and can't fig. it out

"FOR EACH OF THE FOLLOWING:

a. CHOOSE A VARIABLE TO REPRESENT THE NUMBER INDICATED IN PARENTHESES.
b. USE THE VARIABLE TO WRITE AN INEQUALITY BASED ON THE GIVEN INFORMATION
(DO NOT SOLVE.)"

A coin bank containing only nickels, dimes, and quarters has twice as many nickles as dimes and one third as many quarters as nickles. The total value of the coins does not exceed $2.80. (the number of dimes) 2. Originally Posted by scgdevelopment I don't know what it is about this prob. but every time I read it I get all crossed and confused and can't fig. it out "FOR EACH OF THE FOLLOWING: a. CHOOSE A VARIABLE TO REPRESENT THE NUMBER INDICATED IN PARENTHESES. b. USE THE VARIABLE TO WRITE AN INEQUALITY BASED ON THE GIVEN INFORMATION (DO NOT SOLVE.)" A coin bank containing only nickels, dimes, and quarters has twice as many nickles as dimes and one third as many quarters as nickles. The total value of the coins does not exceed$2.80. (the number of dimes)
$\displaystyle (10)(x) + (5)(2x) + (25) \left(\frac{2}{3} x \right) \leq 280$.