Joshua solved 7 maths problems and read 14 pages.
Step-by-step explanation:
Given,
Time for solving one math problem = 2.5 minutes
Time for reading one page = 3 minutes
Total time = 59.5 minutes
Let,
x be the number of problems solved.
y be the number of pages read.
According to given statement;
2.5x+3y=59.5 Eqn 1
The number of pages Joshua read is twice the number of math problems he solved.
y=2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
[tex]2.5x+3(2x)=59.5\\2.5x+6x=59.5\\8.5x=59.5\\[/tex]
Dividing both sides by 8.5
[tex]\frac{8.5x}{8.5}=\frac{59.5}{8.5}\\x=7[/tex]
Putting x = 7 in Eqn 2
[tex]y=2(7)\\y=14[/tex]
Joshua solved 7 maths problems and read 14 pages.
Keywords: linear equations, substitution method
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