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Shtirlitz [24]
3 years ago
12

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?
Mathematics
2 answers:
OLga [1]3 years ago
7 0

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

Anit [1.1K]3 years ago
6 0

\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


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