Question

The local toy store has a bin of toy vehicles for sale. the bin holds b bikes and c cars. if the store sells 1/2 of the vehicles in the bin, which expression represents the number of vehicles remaining in the bin?

Answer 1

The number of vehicles remaining after selling half is represented by the expression (1/2)(b + c), which includes both the bikes and cars.

Step-by-step explanation:

The mathematical expression capturing the count of vehicles left in the bin after the toy store sells half of them is represented as (1/2)(b + c). This derivation involves the initial step of summing the quantities of bikes (b) and cars (c) to ascertain the overall number of vehicles present in the bin. Subsequently, the expression factors in the sales aspect by multiplying the cumulative count by 1/2, signifying the removal of half the vehicles through the sales process. This concise formula encapsulates the dynamic of diminishing vehicle inventory, serving as a mathematical representation that succinctly illustrates the impact of the sales transaction on the remaining stock in the toy store's bin.

Answer 2

Given:

A bin of toy vehicles for sale:

b = number of bikes in the bin
c = number of cars in the bin

The store sells 1/2 of the vehicles in the bin.

The expression which represents the number of vehicles remaining in the bin:

b + c = 0.5a

where a is the initial number of vehicles before selling.