Laneka owns a cake shop. she is currently preparing cakes for two anniversary parties. the first cake has 3 small tiers and 1 medium tier and will serve a total of 100 guests. the second one has 3 small tiers and 2 medium tiers and will serve a total of 140 guests. how many guests will a small tier serve? a medium tier? define each variable write the system of equations are there any additional constraints that should be considered? how can you express them algebraically? solve the system.