### Home > INT3 > Chapter 2 > Lesson 2.2.1 > Problem2-35

2-35.

Harvey’s Espresso Express, a drive-through coffee stop, is famous for its delicious house coffee, a blend of Colombian and Mocha Java beans. Their archrival, Jojo’s Java, sent a spy to steal their ratio for blending beans. The spy returned with a torn part of an old receipt that showed only the total number of pounds and the total cost, $18$ pounds for $\92.07$. At first Jojo was angry, but then he realized that he knew the price per pound of each kind of coffee ($\4.89$ for Colombian and $\5.43$ for Mocha Java). Show how he could use equations to figure out how many pounds of each type of beans Harvey’s used to make its house coffee. Homework Help ✎

First, define variables you can use to write equations.
Let $c$ = the number of pounds of Colombian coffee beans
Let $m$ = the number of pounds of Mocha Java coffee beans

Next, set up an equation to represent the information about cost.

$4.89c+5.43m=92.07$

Now set up a second equation to show the total number of pounds.

Finally, solve your system of equations.