The inequality representation of the scenario is :
- 5m + 8c ≤ 25
- m = 1 and c = 1
- Number of mugs = m
- Cost per mug = $5
- Number of ground coffee = c
- Cost per ground coffee = $8
- Total amount to spend = $25
- (Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend
- Representing as an inequality : 5m + 8c ≤ 25
Combination of m and c that makes the inequality true :
- Using trial by error :
- m = 1 and c = 1
- 5(1) + 8(1) ≤ 25 ; 13 ≤ 25
Hence, m = 1 and c =1 are valid values for the expression.
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Answer:
Pecan cheesecake = $11
Strawberry cheesecake= $19
Step-by-step explanation:
To solve this, we will need to set up a system of equations:
Let's call "Pecan cheesecakes" 'x', and
"Strawberry cheesecakes" 'y'.
We can set up the equations once we have our variables:
276= 13x + 7y
295 = 13x +8y
We will need to subtract these equations from each other to get rid of the 'x' variable. This gives us:
295 = 13x+ 8y
-
276 = 13x+ 7y
19 = y
Therefore, Strawberry cheesecakes cost $19. Plug this into an equation to get the value of 'x':
276= 13x + 7(19)
276 = 13x + 133
143 = 13x
x= $11.
Therefore, Pecan cheesecakes cost $11.
