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ANSWER
The algebraic equation of the total price T is T = 3p + 2p or (6.50 = 3p + 2p)
STEP-BY-STEP EXPLANATION:
Given parameters
• Cost of still water per bottle = $p
,• Cost of sparkling water per bottle = $p
,• The number of sparkling water bottles purchased = 2
,• The number of still water bottles purchased = 3
,• The total amount of money spent altogether = $6.50
As you can see from the question, Ben and his friend spent $6.50 altogether to purchase 2 bottles of sparkling water and 3 bottles of still water. This implies that the total cost is $6.50
Total cost = (number of still water bottles x cost per bottle) + (number pf sparkling water bottles x cost per bottle)
Let the total cost be T
Mathematically, this can be written as
T = (3 * p) + (2 * p)
T = 3p + 2p
Recall that, T = $6.50
6.50 = 3p + 2p
Hence, the algebraic equation of the total price T is T = 3p + 2p or (6.50 = 3p + 2p)
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