What is the solution set to this inequality?
2 answers:
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Answer:
Let M represents the cost of 1 Math book and S represents the cost of 1 science book.
As per the statement:
The cost of 4 math books plus 1 science book is 4 more than the cost of 2 math books plus 3 science books.
"Cost of 4 Math books plus 1 science book" translated to 4M+S
"4 more than the cost of 2 math plus 3 science books " translated to 2M+3S+4
then;
4M+S = 2M+3S+4
Subtract 2M from both sides we get;
2M + S = 3S+4
Subtract S from both sides we get;
2M = 2S + 4
It is also given the cost of science book is $22.95
⇒
⇒2M = 49.9
Divide both sides by 2 we get;
therefore, the cost of the math book is $24.95