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?

Explanation:

Let Number of $45 shares be x

Let number of $ 25 shares be 3x-25

According to question,

So,

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 :  --1

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

Equation becomes :  --2

Substitute the value of x from 1 in 2

Substitute the value of y in 1

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

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft