Question

Mario invested $475 in $45 and $25 stock shares. The number of $25 shares was 5 less than 3 times the number of $45 shares. How many of each type of share did he buy?

Answer 1

Answer:

The number of $25 shares is 10 and the number of $45 shares is 5

Step-by-step explanation:

Let x be the number of shares of $25 and y be the number of shares of $45

So, total cost of $25 shares = $25x

So, total cost of $45 shares = $45y

Since we are given that The number of $25 shares was 5 less than 3 times the number of $45 shares.

Equation becomes : $x = 3y-5$  --1

Mario invested $475 in $45 and $25 stock shares.

Equation becomes : $25x+45y=475$  --2

Substitute the value of x from 1 in 2

$25(3y-5)+45y=475$

$75y-125+45y=475$

$120y=600$

$y=5$

Substitute the value of y in 1

$x = 3(5)-5$

$x = 10$

So, the number of $25 shares is 10 and the number of $45 shares is 5

Answer 2

$\text{Answer : Number of \ 45 shares} =120$

$\text{Number of \ 25 shares }\\\\= 3\times 120-5\\\\=360-5\\\\=\ 355$

Explanation:

Let Number of $45 shares be x

Let number of $ 25 shares be 3x-25

According to question,

$x+3x-5=475\\\\4x-5=475\\\\4x=475+5\\\\4x=480\\\\x=\frac{480}{4}\\\\x=120$

So,

$\text{Number of \ 45 shares} =120$

$\text{Number of \ 25 shares }\\\\= 3\times 120-5\\\\=360-5\\\\=\ 355$