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In: Advanced Math

A factory has three machines capable of producing widgets. All three machines together can produce 191...

A factory has three machines capable of producing widgets. All three machines together can produce 191 widgets per hour. Machine A and machine B together can produce 129 widgets per hour, while machine A and machine C can together produce 137 widgets per hour. How many widgets per hour can each machine produce?

A factory has three machines capable of producing widgets. All three machines together can produce 242 widgets per hour. Machine A and machine B together can produce 142 widgets per hour, while machine A and machine C can together produce 167 widgets per hour. How many widgets per hour can each machine produce?

Three kinds of tickets were sold for a concert. Child tickets cost $5, adult tickets cost $15, and student tickets cost $10. A total of 122 tickets were sold, bringing in a total of $1430. If the number of student tickets sold was three times the number of child tickets sold, how many tickets of each type were sold?

Three kinds of tickets were sold for a concert. Child tickets cost $5, adult tickets cost $15, and student tickets cost $10. A total of 134 tickets were sold, bringing in a total of $1735. If the number of student tickets sold was three times the number of child tickets sold, how many tickets of each type were sold?

Three kinds of tickets were sold for a concert. Child tickets cost $5, adult tickets cost $15, and student tickets cost $10. A total of 124 tickets were sold, bringing in a total of $1610. If the number of student tickets sold was three times the number of child tickets sold, how many tickets of each type were sold?

Three sizes of soft drink are sold at a festival. The large (24 oz) is sold for $3, the medium (16 oz) for $2, and the small (10 oz) for $1. 789 drinks are sold bringing in a total of $1563. If a total of 13048 oz of soft drink was sold, how many of each size drink was sold?

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