Linear equation word problem 2

At the time a buyer was ordering his goods, tea was quoted at 1.20 dollars per lb. and coffee at 4 dollars per lb. He decided to buy a certain amount of each. In all, 104 lb. were bought, at a total cost of $248. How much of each commodity did he buy? Use only one variable. • We use dollar signs to set off math formulas, which is why you get the italics. You should put a backslash before the dollar signs, or delete them as the currency does not matter. Oct 20, 2016 at 22:02 • When they say "use only one variable" I often find it easier to write the equations using more than one. One of the equations should be rather simple, so you can us it for a substitution to get down to one variable. Here I would follow Peter's suggestion. The equation for total weight provides the substitution you want. Oct 20, 2016 at 22:04 2 Answers Let's see...if$x$is the number of pounds of tea, then$104 - x$is the number of pounds of coffee. That means he spent \$1.2$x$ dollars on tea and\4(104-x)$dollars on coffee. Let$x$be the number of pounds of tea bought. Then the number of pounds of coffee bought must be$104 - x$. The cost of the tea is$1.2x$and the cost of the coffee is$4(104-x)\$.

Can you create an equation for the total cost? If so, then solve it to find the number of pounds of tea.