Asked by Mia
Two pieces of cake weigh as much as one apple and one cherry. One apple weighs as much as five cherries and one piece of cake. How many cherries weigh as much as one apple?
Answers
Answered by
drwls
Let X = cake weight
Let Y = cherry weight
Let Z = apple weight
2X = Y + Z
Z = 5Y + X
Eliminate the variable X to get an equation between Y and Z.
2X = -10Y +2Z (from the second equation, multiplied by two and rearranged)
15Y -Z = 0
Z = 15 Y
15 cherries weight the same as an apple.
Let Y = cherry weight
Let Z = apple weight
2X = Y + Z
Z = 5Y + X
Eliminate the variable X to get an equation between Y and Z.
2X = -10Y +2Z (from the second equation, multiplied by two and rearranged)
15Y -Z = 0
Z = 15 Y
15 cherries weight the same as an apple.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.