Question

Which situation can be represented by this equation?

340+5x - 650 - 8x
Sierra started with 340 cans of food for a food drive. She collects 5 more cans every day.
Brian started with 650 cans of food for the food drive. He collects 8 more cans every day.
What is x, the number of days that need to pass in order for Sierra and Brian to have the
same number of cans of food?
Sierra has a bucket that originally contained 340 fl oz of water and is being filled at a rate
of 5 fl oz per minute. Brian has a bucket that originally contained 650 fl oz of water and is
being drained at a rate of 8 fl oz per minute. What is x, the number of minutes that need
to pass in order for the two buckets to contain the same amount of water?
Sierra earns 345 points on each level of a video game. Brian earns 642 points on each
level of the same video game. What is x, the number of levels that Sierra and Brian would
have to play in order for them to have an equal number of points?
Sierra started with savings of $340 and spends $8 of her savings every week. Brian
started with savings of $650 and adds $5 to his savings every week. What is x, the
number of weeks that need to pass in order for Sierra and Brian to have the same amount
of savings?

Answer 1

Explanation:

The situation that can be represented by the given equation 340 + 5x - 650 - 8x is:

Sierra started with savings of $340 and spends $8 of her savings every week. Brian started with savings of $650 and adds $5 to his savings every week. The equation represents the difference in savings between Sierra and Brian after x weeks. The term "340 + 5x" represents the total savings of Sierra after x weeks, where she starts with $340 and adds $5 per week. The term "- 650 - 8x" represents the total savings of Brian after x weeks, where he starts with $650 and subtracts $8 per week. By equating the two expressions, we can find the value of x, which represents the number of weeks needed for Sierra and Brian to have the same amount of savings.