The rule is “1, 2.” What is the 42nd number?
2 answers:
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A soda costs cents
Step-by-step explanation:
A vendor sells h hot dogs and s sodas
- A hot dog costs twice as much as a soda
- The vendor takes in a total of d dollars
We need to find how many cents does a soda cost
Assume that the cost of a soda is x cents
∵ The cost of a hot dog is twice as a soda
- Twice means multiply by 2
∵ The cost of a soda = x cents
∴ The cost of a hot dog = 2x
∵ The total cost of h hot dog and s soda is $d
∵ 1 dollar = 100 cents
- Change the total cost to cents
∴ $d = d × 100 = 100d cents
∵ The vendor sells h hot dogs and s soda
∴ The total cost of h hot dog and s soda = s(x) + h(2x)
∴ The total cost of h hot dog and s soda = sx + 2hx
- Equate the total cost by 100 d
∴ sx + 2hx = 100d
- Take x as a common factor from the left hand side
∴ x(s + 2h) = 100d
- Divide both sides by (s + 2h)
∴
∵ x represents the cost of a soda in cents
∴ The cost of a soda is cents
A soda costs cents
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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