Five times A money added to B money is more than 51.00 and three times A money minus B money is 21.00. Suppose, A and B represents money in dollars, then: value A > 9 and B > 6.
Determining the values of A and B
Making equations from statements
Five times A money added to B money is more than 51.00, so
5A + B > 51 ... (1)
Three times A money minus B money is 21.00, so
3A - B = 21
-B = 21 - 3A
B = 3A - 21 ... (2)
Substitute B = 3A - 21 into the equation (1)
5A + B > 51
5A + 3A - 21 > 51
5A + 3A > 51 + 21
8A > 72
A > [tex]\displaystyle \frac{72}{8}[/tex]
A > 9
Substitute A = 9 into the equation (1)
5A + B > 51
5 × 9 + B > 51
45 + B > 51
B > 51 - 45
B > 6
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