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On a snow day, Claire created two snowmen in her backyard. Snowman A was built to a height of 29 inches and Snowman B was built to a height of 54 inches. The next day, the temperature increased and both snowmen began to melt. At sunrise, Snowman A's height decrease by 3 inches per hour and Snowman B's height decreased by 8 inches per hour. Let
A
A represent the height of Snowman A
t
t hours after sunrise and let
B
B represent the height of Snowman B
t
t hours after sunrise. Write an equation for each situation, in terms of
t
,
t, and determine the number of hours after sunrise when both snowmen have an equal height.

Sagot :

Answer:

29 - 3t = 54 - 8t

-29 -29

-3t = 25 - 8t

+8t +8t

5t = 25

/5 /5

t = 5

The snowmen will have an equal height after 5 hours.

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