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Dmitry [639]
3 years ago
13

Can 12 be part of more than one fact family? Explain.

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0
A fact family is a group of math facts using the same numbers. In the case of addition/subtraction, you use three numbers and get four facts. For example, you canform a fact family using the threenumbers 10, 2, and 12: 10 + 2 = 12, 2 + 10 = 12, 12 − 10 = 2, and 12 − 2 = 10.
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Step-by-step explanation:

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Answer:

(a) B

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(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

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We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

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(b) Our equation from this, if we still use t and p, is:

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5t + 4p = 82

9t + 6p = 138

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Subtract the second from the first:

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So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

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p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

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