Question

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

Answer 1

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


`A + B = 26`


`0.49A + 0.34B = 11.39`

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


`0.49(26 - B) + 0.34B = 11.39`

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.