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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
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