There are 54 study bibles, 24 pocket bibles and 14 large print bibles.
Step-by-step explanation:
Given,
Total number of bibles = 92
Let,
x represent the number of study bibles
y represent the number of pocket bibles
z represent the number of large print bibles.
According to given statement;
x+y+z=92 Eqn 1
x = y+30 Eqn 2
z = y-10 Eqn 3
Putting value of x and z from Eqn 2 and 3 in Eqn 1
[tex](y+30)+y+(y-10)=92\\y+30+y+y-10=92\\3y+20=92\\3y=92-20\\3y=72[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{72}{3}\\y=24[/tex]
Putting y = 24 in Eqn 2
[tex]x=24+30\\x=54[/tex]
Putting y = 24 in Eqn 3
[tex]z=24-10\\z=14[/tex]
There are 54 study bibles, 24 pocket bibles and 14 large print bibles.
Keywords: linear equation, substitution method
Learn more about substitution method at:
- brainly.com/question/12363217
- brainly.com/question/12419898
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