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.

Question

Mathematics

Carl Sanford

Yesterday, 16:21

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.

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Answers (1)

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Cheeky · Answer 1

935 = 6a + 3.5c (this is the amount that has been raised)

210 = a + c (this is this amount of the dinners being sold)

Step-by-step explanation:

so a = 210 - c

935 = (6 * (210 - c)) + 3.5c

6 * 210 is 1260, so:

935 = 1260 - 6c + 3.5c

2.5c = 1260 - 935

2.5c = 325

so c = 130

a = 210 - 130 = 80

We know that 80 adult dinners were sold.

We also know 130 child dinners were sold as well.