Answer:
a) A + B = 9
350A + 475B = 3650
where A = number of days spend at Lake Tahoe
B = number of days spent in San Francisco
b) A = 5 days
B = 4 days.
Hence, the Morris family spent 5 days at Lake Tahoe and spent 4 days at San Francisco
Step-by-step explanation:
a) Let the number of days spend at Lake Tahoe be A
And the number of days spend at San Francisco be B
Total number of days spend on the trip = 9
A + B = 9
Total cost of the whole 9-day trip = $3650
Cost per day at Lake Tahoe = $350
Total cost of staying A days at Lake Tahoe = $350A
Cost per day of staying at San Francisco = $475
Total cost of staying B days in San Francisco = $475B
350A + 475B = 3650
The two equations are
A + B = 9
350A + 475B = 3650
b) Use the substitution method to solve this.
A + B = 9 (eqn 1)
350A + 475B = 3650 (eqn 2)
Make A the subject of formula in eqn 1
A = 9 - B
Then, substitute this for A in eqn 2
350A + 475B = 3650
350(9 - B) + 475B = 3650
3150 - 350B + 475B = 3650
125B = 500
B = (500/125) = 4
A = 9 - B = 9 - 4 = 5
Hence, they spent 5 days at Lake Tahoe and spent 4 days at San Francisco.
Hope this Helps!!!
