Tasty bakery sells three kinds of muffins chocolate chip muffins at 15 cents each, oatmeal muffins at 20 cents each, and cranberry muffins at 25 cents each. charles buys some of each kind and chooses three times as many cranberry muffins as chocolate chip muffins. if he spends $3.70 on 17 muffins, how many cranberry muffins did he buy?

9

Step-by-step explanation:

Let c = number of chocolate chip muffins.

Let a = number of oatmeal muffins

Let r = number of cranberry  muffins

He bought 17 muffins, so

c + a + r = 17

Using the prices, the following equation shows how much he spent,

0.15c + 0.2a + 0.25r = 3.70

Charles buys some of each kind and chooses three times as many cranberry muffins as chocolate chip muffins.

r = 3c

We substitute 3c for r in the first two equations.

c + a + r = 17

c + a + 3c = 17

a + 4c = 17           Eq. 1

0.15c + 0.2a + 0.25r = 3.70

0.15c + 0.2a + 0.25(3c) = 3.70

0.15c + 0.2a + 0.75c = 3.70

0.2a + 0.9c = 3.70

2a + 9c = 37      Eq. 2

Equations 1 and 2 are two equations in two unknowns.

a + 4c = 17

2a + 9c = 37

Multiply the first equation just above by -2 and add it to the second equation.

   -2a - 8c = -34

+    2a + 9c = 37

               c = 3

r = 3c = 3(3) = 9

9 cranberry muffins

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

b

step-by-step explanation:

it have 5 sides and 5 identicle angle.the rest does not have the same property as b.

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