Answer:
- 40 popcorns and 90 pretzels sold.
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Let the number of popcorns is x and pretzels is y.
Set up equations:
- x + y = 130
- 2.5x + 2y = 280
Solve by elimination, multiply the first equation by 2 and subtract from the second equation:
- 2.5x + 2y - 2x - 2y = 280 - 2*130
- 0.5x = 280 - 260
- 0.5x = 20
- x = 20/0.5
- x = 40
Find y:
- 40 + y = 130
- y = 130 - 40
- y = 90
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Answer:
To determine the exponential growth of Michelle's tree at 12 years, taking into account that it measures 7 feet and grows 14% annually, the following calculation must be performed:
X = 7 x (1 + 0.14) 12
X = 33.7
Thus, in 12 years, the height of Michelle's tree will be 33.7 feet. In turn, the tree of Tara will measure 58 feet at the same time.
The first time Michelle's tree surpasses Tara's will be at age 20, when Michelle's tree will measure 96.2 feet (X = 7 x (1 + 0.14) 20), while Tara's tree will measure 90 feet.
Box A has 12 balls and Box B has 8 balls.
OR
Box A has 60 balls and Box B has 40 balls.
OR
Box A has 48 balls and Box B has 32 balls.
