Setting up Linear Equations; Applications January 23, 2007

An inheritance of $900,000 is to be divided among Scott, Alice and Tricia in the following manner: Alice is to receive 75% of what Scott gets while Tricia gets 50% of what Scott gets. How much does each receive?

Leigh is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $442 for 48 hours worked. What is her hourly rate?

A wool suit, discounted by 30% for a clearance sale, has a price tag of $399. What was the suit’s original price?

A bank loaned out $12,000, part of it at the rate of 8% per year and the rest at the rate of 18% per year. If the interest received totaled $1,000, how much was loaned at 8%?

A coffee manufacturer wants to market a new blend of coffee that sells for $3.90 per pound by mixing two coffees that sell for $2.75 and $5 per pound, respectively. What amounts of each coffee should be blended to obtain the desired mixture?

A new copying machine can do a certain job in 1 hour less than an older copier. Together they can do the job in 72 minutes. How long would it take the older copier by itself to do the job?