CPM Homework Help : CCA2 Problem 2-87

Harvey’s Espresso Express, a drive-through coffee stop, is famous for its great 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.

Step 1:

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

Step 2:

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

$4.89c+5.43m=92.07$

Step 3:

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

Step 4:

Finally, solve your system of equations.