Michael is saving money to attend a ski camp in Canada. The total cost of the camp is $1500. He has 785 in a savings account and plans to save $55 per week. a.) write an equation to represent this problem. B.) use the equation to find the number of weeks he will need to save. Show a formal check.

The equation to represent this problem is 785 + 55x = 1500

13 weeks are needed to save

Solution:

Michael is saving money to attend a ski camp in Canada

Let "x" be the number of weeks he saves

The total cost of the camp is $1500

Total cost = $ 1500

He has 785 in a savings account and plans to save $55 per week

Amount in savings account = 785

Amount saved per week = $ 55

Therefore, we frame a equation as:

Total cost = Amount in savings account + (number of weeks x Amount saved per week)

1500 = 785 + 55x

Thus the equation to represent this problem is 785 + 55x = 1500

B.) use the equation to find the number of weeks he will need to save

Solve the equation for "x"

785 + 55x = 1500

55x = 1500 - 785

55x = 715

x = 13

Thus 13 weeks are needed to save

Show a formal check:

Substitute x = 13 in equation

785 + 55 (13) = 1500

785 + 715 = 1500

1500 = 1500

Thus the equation is correct