Two friends visited a taffy shop. Annie bought 9 pounds of strawberry taffy and 10 pounds of banana taffy for $103. Next, Rob bought 9 pounds of strawberry taffy and 9 pounds of banana taffy for $99. How much does the candy cost?

Step-by-step explanation:

If we say s is the cost per pound of strawberry and b is banana.

For Annie we have 9s + 10b = 103.

For Rob we have 9s + 9b = 99.

If you notice the only thing that changes on the left hand sides is a single b. This causes a change of 4 on the right hand side. From this we can see that b = 4. Substituting b=4 in Annie's line we get 9s + 40 = 103 so 9s = 63 so s = 7.

Strawberry costs $7 per pound and banana costs $4 per pound

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

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