Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.
Sagot :
The sum of the lemonade sold, the lemonade given to her cousins and
the amount left, gives the the amount of lemonade at the start.
Response:
- The volume of lemonade with Tiana at the start is 9.5 gallons
How are arithmetic operations performed with fraction?
Given:
The amount of lemonade Tiana sold at the sale = [tex]\dfrac{3}{4}[/tex]
The amount of lemonade Tiana gave to her cousins = [tex]\mathbf{\dfrac{3}{2}}[/tex] gallons
The amount of lemonade Tiana had left = [tex]\dfrac{7}{8}[/tex] of a gallon
Required:
The amount of lemonade, Tiana started with
Solution:
Let x represent the amount of lemonade Tiana started with, we have;
[tex]x = \mathbf{\dfrac{3}{4} \cdot x + \dfrac{3}{2} \ gallons + \dfrac{7}{8} \ gallons}[/tex]
[tex]\mathbf{x - \dfrac{3}{4} \cdot x} = \dfrac{3}{2} \ gallons + \dfrac{7}{8} \ gallons[/tex]
[tex]\dfrac{1}{4} \cdot x = \dfrac{3}{2} \ gallons + \dfrac{7}{8} \ gallons = \dfrac{19}{8} \ gallons[/tex]
[tex]x = \dfrac{19}{8} \ gallons \times 4 = \mathbf{9.5 \ gallons}[/tex]
- The volume of lemonade Tiana starts with is 9.5 gallons
Learn more about fractions here:
https://brainly.com/question/2194108
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.
