Harvey’s expresso express, a drive through coffer 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.
Let x = pounds of Colombian coffee
Let y = pounds of mocha jave coffee
x+y=18 pounds or x=18 pounds−yx⋅$4.891 pound+y⋅$5.431 pound=$92.07
4.89x+5.43y=92.07|x=18−y4.89⋅(18−y)+5.43y=92.074.89⋅18−4.89y+5.43y=92.0788.02+0.54y=92.07|−88.020.54y=92.07−88.020.54y=4.05|:0.54y=4.050.54y=7.5 pounds x=18−yx=18−7.5x=10.5 pounds
Harvey’s used 10.5 pounds of Colombian coffee and 7.5 pounds of mocha jave coffee
