Using only 32-cent and 20-cent stamps, Charlie put $3.36 postage on a package he sent to his sister,He used twice as many 32-сent stamps as 20 cent stamps. Determine how many of each type of stamphe used.
Accepted Solution
A:
Answer:Charlie used 4 20-cent stamps and 8 32-cent stamps.Step-by-step explanation:Let the number of 20 cents stamps be [tex]x[/tex]. Then, as per question, Chalie used twice as many 32-сent stamps as 20 cent stamps.Therefore, number of 32-cent stamps is [tex]2x[/tex].Now, total cost of the stamps is $ 3.36 = 336 centsCost of 1 20-cent stamp is 20 cents. So, cost of [tex]x[/tex] 20-cent stamps is [tex]20x[/tex]. Similarly, cost of [tex]2x[/tex] 32-cent stamps is [tex]32(2x)=64x[/tex]Total cost = [tex]20x+64x=84x[/tex]As per question,[tex]84x=336\\x=\frac{336}{84}=4[/tex]Number of 20-cent stamps = [tex]x = 4[/tex]Number of 32-cent stamps = [tex]2x=2\times 4=8[/tex]So, Charlie used 4 20-cent stamps and 8 32-cent stamps.