Question
At a snack bar, each medium drink costs $1.85 and each large drink costs c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c ?
- 0.45
- 0.40
- 0.30
- 0.25
The correct answer is: 0.40
HINT: Frame an equation corresponding to the information provided in the question and hence find the value of c.
Complete step by step solution:
Cost of one medium drink = $ 1.85
Given that large drinks cost c more dollars than a medium drink.
So, cost of one large drink = $ 1.85 + c
Here, cost of 5 medium drinks = 1.85 × 5 = 9.25
Cost of 5 large drinks = (1.85 + c) × 5 = 9.25 + 5c
Total cost after buying 5 medium drinks and 5 large drinks = $ 20.50
From this, we get the equation as 9.25 + 9.25 + 5c = 20.50
That is, 18.5 + 5c = 20.50
On subtracting 18.5 from both the sides, we get 5c = 2
Divide on both sides by 5.
On dividing, we get c = = 0.4
Hence option B is the correct answer
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