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