Sarah and owen herbert purchased 26 stamps, a mixture of 49 cents and 34 cents stamps. find the number of each type of stamp if they spend $11.39

Let be the number of 49 cent stamps bought and be the number of 34 cent stamps bought. We can set up the following equations using the information above:





Substituting the first equation into the second equation will give you the following:



Solving for B will give you the number of 34 cent stamps purchased, and then you can figure out the number of 49 cent stamps purchased.