Ryan is working his way through school. He works two parttime jobs for a total of 26 hours a week. Job A pays $6.20 per hour, and Job B pays $6.90 per hour. How many hours did he work at each job the week that he made $168.90
a = number of hours at job A
b = number of hours at job B a + b = 26 {works two jobs for a total of 26 hours} 6.2a + 6.9b = 168.9 {$6.20 for job a and $6.90 for job B, with a total of $168.90} a + b = 26 {first equation} a = b + 26 {subtracted b from each side of first equation} 6.2a + 6.9b = 168.9 {second equation} 6.2(b + 26) + 6.9b = 168.9 {substituted (b + 26), in for a, into second equation} 6.2b + 161.2 + 6.9b = 168.9 {used distributive property} 0.7b + 161.2 = 168.9 {combined like terms} 0.7b = 7.7 {subtracted 161.2 from each side} b = 11 {divided each side by 0.7} a + b = 26 {first equation} a + 11 = 26 {substituted 11, in for b, into first equation} a = 15 {subtracted 11 from each side} 15 hours at job A 11 hours at job B Ask the House
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January 2021
