Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
let x= bread rolls and y = fruit muffins
X+Y=84
and
X-18=(5/6)Y
system of equations, substitute Y because we want X
X-18=(5/6)(84-X)
X-18=70-(5/6)X
(11/6)X=88
X=48 rolls
X+Y=84
and
X-18=(5/6)Y
system of equations, substitute Y because we want X
X-18=(5/6)(84-X)
X-18=70-(5/6)X
(11/6)X=88
X=48 rolls
Answer:
Henry baked 48 rolls.
Step-by-step explanation:
We are given the following information in the question:
Total number of rolls and fruit muffins baked = 84
Number of rolls given = 18
After giving away 18 rolls there are [tex]\frac{5}{6}[/tex] as many rolls as muffins.
Let x be the number of rolls and y be the number of fruit muffins.
Then, we can write the following equations:
[tex]x + y =84\\(x-18) = \displaystyle\frac{5}{6}y[/tex]
We have two equations in two variables. Solving the two equations, we have:
[tex]y =84-x\\(x-18) = \displaystyle\frac{5}{6}(84-x)\\\Rightarrow 6x - 108 = 420 - 5x\\\Rightarrow 11x = 528\\\rightarrow x = 48\\y = 84-48 = 36[/tex]
Thus, Henry baked 48 rolls and 36 fruit muffins.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.