Children Dinner
math help please???????
At the high school band’s annual spaghetti dinner, the members served 210 dinners and collected $935. The band leader did not designate which ticket was an adult or child dinner. You need to know that to prepare the correct amount of food and for future planning. Each adult dinner cost $6 and each child’s dinner cost $3.50.
Let a = number of adult dinners
Let c = number of child dinners
1. Write two equations to represent the total amount raised from the dinner and the total.
2. Use substitution to solve the above system of equations. How many adult dinners were sold and how many child dinners were sold?
Show your work
a + c = 210
6a + 3.50c = 935
solve first equation:
a=210 – c
sub a into second equation:
6(210 – c) + 3.50c = 935
1260 – 6c +3.50c = 935
-2.5c = -325
c = 130 childrens tickets
a = 80 adult tickets
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