A jumbo smoothie costs $4.95. Two jumbo smoothies and a medium smoothie cost $0.15 more than four medium smoothies. How much does the medium smoothie cost?

a = 1 medium smoothie
$4.95 + $4.95 + $0.15 + a = 4a $10.05 = 3a a= $3.35

Answered by jwainwright54jack | 2024-06-10

The cost of a medium smoothie is $3.25.
To solve the problem, we'll use algebra. Let's define the cost of the medium smoothie as x dollars.
We know that 2 jumbo smoothies plus 1 medium smoothie cost $0.15 more than 4 medium smoothies:
2($4.95) + x = 4x + $0.15
First, we'll multiply the cost of the jumbo smoothies:
$9.90 + x = 4x + $0.15
Next, we move all terms involving x to one side to solve for x:
$9.90 - $0.15 = 4x - x
$9.75 = 3x
Divide both sides by 3 to find the value of x:
x = $9.75 / 3
x = $3.25
Therefore, the cost of a medium smoothie is $3.25

Answered by SumeraAshfaq | 2024-06-24

A medium smoothie costs $3.25, derived from the equation relating the costs of jumbo and medium smoothies. Two jumbo smoothies and a medium smoothie cost $0.15 more than four medium smoothies. The calculations show that the cost of a medium smoothie is obtained by rearranging the relationship provided in the problem.
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Answered by jwainwright54jack | 2024-09-27