Question

Mario invested $475\backslash ($in $45\backslash )$and $25\backslash ($stock shares. The number of $25\backslash )$shares was five less than three times the number of $45\$$shares. How many of each type of share did he buy?

Short answer

No. of$45\$$share is$5$and number of sharesis$10$

Step-by-step solution

Step 1. Given information 

Mario invested $\$475$in $\$45$and $\$25$stock shares. The number of $25\$$shares was five less than three times the number of $45\$$shares.

Step 2. let the no. of $45 share is x

No. of $25\$$share is$=3x-5$$\$25$

Step 3. Making and solving the equation 

$$\begin{gathered} 25(3x-5)+45x=475 \\ 75x-125+45x=475 \\ 120x-125=475 \\ 120x=475+125 \\ 120x=600 \\ x=5 \end{gathered}$$

No. of$45\$$share is$5$and$25\$$share is$3\left(5\right)-5=10$