Help me out, please.
1 answer:
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Answer:
About 17 weeks
Step-by-step explanation:
Given
Ryan:
<em /><em> (weekly)</em>
Sarah:
(weekly)
Required
Determine the number of weeks they have the same cards
Represent the number of weeks with w:
For Both individuals, number of card at any given week is:
So,
For Ryan, the expression is:
For Sarah, the expression is:
To determine the number of weeks, we have to equate both equations:
Collect Like Terms
Solve for w
16.6 implies about 17 weeks, because 16.6 approximates to 17
<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>
Complete Question
Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets. Could they take 9 children and 4 adults to both shows? Show your work. A yes or no answer is not sufficient for credit.
Answer:
Yes it is possible to take the 9 children and 4 adults to both shows
Step-by-step explanation:
From the question we are told that
The cost of the Matinee tickets for a child is z = $4
The cost of the Matinee tickets for an adult is a = $ 4
The cost of the Evening tickets for a child is k = $6
The cost of the Evening tickets for an adult is b = $8
The maximum amount to be spent on Matinee tickets is m = $80
The maximum amount to be spent on Evening tickets is e = $100
The number of child to be taken to the movies is n = 9
The number of adults to be taken to the movies is j = 4
Now the total amount of money that would be spent on Matinee tickets is mathematically evaluated as
substituting values
Now the total amount of money that would be spent on Evening ticket is mathematically evaluated as
substituting values
This implies that it is possible to take 9 children and 4 adults to both shows
given that
i.e $56 $ 80
and
i.e $ 86 $ 100