Question

Hector spent $\backslash (33.20$at the post office. He bought four times as many role="math" localid="1647145644364" $\backslash )0.41$stamps as $\$0.02$stamps. How many of each did he buy?

Short answer

First stamp with cost $0.41\$$is $80$and second stamp with cost $0.02\$$is$20$

Step-by-step solution

Step 1. Given information

Hector spent $33.20\$$at the post office. He bought four times as many stamps as $0.02\$$stamps.

Step 2. Let the number of stamps be x,

Now, $4$times as many as $0.41\$$stamp becomes $0.41x$

and role="math" localid="1647145841238" $0.02\$$becomes$0.02x$

Step 3. Making equation and solving it we get

$$\begin{gathered} (0.41)4x+0.02x=33.20 \\ 1.64x+0.02x=33.20 \\ 1.66x=33.20 \\ x=20 \end{gathered}$$

Hence no. of stamp of cost $0.41\$$is $4\times 20=80$

no. of stamps of cost$0.02\$$is$20$