Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
The amount of cookies in the small tray = x = 19 cookies
The amount of cookies in the Large tray = y = 40 cookies
Step-by-step explanation:
Let
The amount of cookies in the small tray = x
The amount of cookies in the Large tray = y
We are told:
A caterer is making cookie trays for upcoming holiday parties.
This morning, she made 4 small trays and 4 large trays, which contain a total of 236 cookies.
This is represented Mathematically as:
4x + 4y = 236..... Equation 1
In the afternoon, she made 4 small trays and 1 large tray, which contain a total of 116 cookies.
This is represented Mathematically as:
4x + y = 116 ........ Equation 2
y = 116 - 4x
We solve the above equations using the substitution method
We substitute 116 - 4x for y in Equation 1
4x + 4y = 236..... Equation 1
4x + 4(116 - 4x) = 236
4x + 464 - 16x = 236
Collect like terms
4x - 16x = 236 - 464
-12x = -228
x = -228/-12
x = 19 cookies
Solving for y
y = 116 - 4x
y = 116 - 4 × 19
y = 116 - 76
x = 40 cookies
The number of cookies the different sized trays contained is given as:
The amount of cookies in the small tray = x = 19 cookies
The amount of cookies in the Large tray = y = 40 cookies
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
