Famousandy3
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

lucie and suzie buy greeting cards. lucie buys 10 more cards than one third of the girls’ total. how many more cards should suzie buy so that she has 10 more cards than two thirds of the girls’ total? assume that lucie does not make any purchases after her initial purchase.

QUICK I NEED AN ANSWER ASAP

Sagot :

MrRoyal

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

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.