5y = 4x + 20
- 4x + 5y = 20
The numbers of bars that the team have to get from each company in order for the total cost to be equal is 40.
<h3>What is the purchase about?</h3>
Since n = numbers of bars purchase.
y= total cost in dollars
Company A = 0.75n
Company B = 10 + 0.50n
Therefore, to find the numbers of bars that the team would need to purchase from each company in order for the total cost to be equal =
0.75n = 10 + 0.50n
0.2n = 10
n = 40
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Answer:
Cheryl's age = x = 7 years
Rita's age = y = 17 years
Step-by-step explanation:
Let
Cheryl's age = x
Rita's age = y
Two years ago, Rita was three times older than Cheryl
(y - 2) = 3(x - 2)
y - 2 = 3x - 6
y = 3x - 6 + 2
= 3x - 4
y = 3x - 4
In 3 years, Rita will be twice older than Cheryl
(y + 3) = 2(x + 3)
y + 3 = 2x + 6
y = 2x + 6 - 3
= 2x + 3
y = 2x + 3
Equate both equations
3x - 4 = 2x + 3
Collect like terms
3x - 2x = 3 + 4
x = 7 years
Substitute x = 7 into
y = 2x + 3
= 2(7) + 3
= 14 + 3
= 17
y = 17 years
Cheryl's age = x = 7 years
Rita's age = y = 17 years