Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total
How to determine the number of cards?
Represent Lucie's card with L and Suzie's card with S.
So, the total number of cards is:
Total = L + S
Lucie's number of cards can be represented as:
L = 10 + 1/3(L + S)
Multiply through by 3
3L = 30 + L + S
Subtract L from both sides
2L = 30 + S
Divide by 2
L = 15 + 0.5S
Let x represents the additional number of cards.
So, we have:
x + L = 10 + 2/3(L +S)
Substitute L = 15 + 0.5S
x + 15 + 0.5S = 10 + 2/3(15 + 0.5S + S)
Evaluate the sum
x + 15 + 0.5S = 10 + 2/3(15 + 1.5S)
Expand
x + 15 + 0.5S = 10 + 10 + S
Evaluate the sum
x + 15 + 0.5S = 20 + S
Subtract 0.5S from both sides
x + 15 = 20 + 0.5S
Subtract 15 from both sides
x = 5 + 0.5S
The above means that Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total
#SPJ1
Read more about proportions at:
https://brainly.com/question/1781657
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.