Answer:
8 weeks
Explanation:
Given data
Matteo
Amount= $400
Spending per week= $10
Hence his balance after x weeks is given as
y=400-10x-------------1
Luca
Amount= $200
Spending per week= $15
Hence his balance after x weeks is given as
y=200+15x-------------2
Equate 1 and 2
400-10x=200+15x
collect like terms
400-200=15x+10x
200=25x
x= 200/25
x= 8 weeks
Hence it will take 8 weeks