write an equation to solve each problem
Briana and her sister Molly want to buy the same model bicycle. Briana needs $73 more before she can afford the bike. Molly needs $65 more. If they combine their money, they will have just enough to buy one bicycle that they could share. What is the cost of the bicycle?
*Could you show me the work on how to do it
cost = c
Briana + 73 = c
Molly + 65 = c
Briana + Molly = c
so molly = (c - Briana)
now we have
Briana + 73 = c
(c - Briana) + 65 = c or Briana = 65
Briana + 73 = c
73 + 65 = c = 138
Sure! To solve this problem, we can use the concept of variables and algebraic equations.
Let's assume the cost of the bicycle is represented by the variable 'x'. According to the problem, Briana needs $73 more and Molly needs $65 more.
So, the equation for Briana would be: x = 73 + B's current money
And the equation for Molly would be: x = 65 + M's current money
Since they are combining their money, the total amount they have together would be the sum of their current money. Let's assume Briana has "B" dollars and Molly has "M" dollars currently.
The equation for their combined money would be: B's current money + M's current money = x
Now, since they have just enough money to buy one bicycle that they would share, the equation for their combined money is equal to the cost of the bicycle 'x'.
Hence, the equation becomes: B's current money + M's current money = x
To find the cost of the bicycle 'x', we need to solve this equation.
Hope this helps! Let me know if you have any further questions.