Estimation and Limits -- Introduction -- Stretch Your Understanding

1. Joe's Crystal Clear Water Company sells spring water. The demand for their water is so high that they have purchased 10,000,000 gallons of water from another supplier. Unfortunately, the water they bought was contaminated by Agent Icky. It contains 10 ppm of Agent Icky. State regulations require that water cannot contain more than 2 ppm of Agent Icky. Joe has decided to dilute the water he purchased with his own pure water. How much pure water must he add to the contaminated water to meet state regulations?

2. Joe's Crystal Clear Water Company sells spring water. The demand for their water is so high that they have purchased 10,000,000 gallons of water from another supplier. Unfortunately, the water they bought was contaminated by Agent Icky. It contains 10 ppm of Agent Icky. Joe's usual source contains only 2 ppm of Agent Icky and the label states this fact. State regulations require that claims made in the label cannot be off by more than 0.5 ppm. Joe has decided to dilute the water he purchased with water from his usual source. How much water must he add to the contaminated water to meet state regulations?