Question

Hello there I need help with this.Ben and his friend go to buy some water.Still water and sparkling water both cost $p per bottle. Ben and his friend bought 2 bottles of sparkling water and 3 bottles of still water.They spent $6.50 altogether.What is the algebraic equation of the total price T?

Answer 1

The algebraic equation of the total price T is T = 3p + 2p or (6.50 = 3p + 2p)

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)