Respuesta :
The equation that represents the situation when Sherry and Damien will have the same amount of money in their cash boxes is 18 + 0.5x = 12 + 0.75x
Solution:
Given that
Initial amount of sherry in cash box = $18
Sherry is selling bags of chips.
Price of 1 bag of chips = 50 cents = $ 0.5
Initial amount of Damien in cash box = $12
Damien is selling ice cream sandwich .
Price of 1 ice cream sandwich = 75 cents = $ 0.75
Lets create expression of amount in cash box for sherry and daimen when "x" items are sold.
In case of Sherry price of "x" bags of chips [tex]=\text { price of } 1 \text { bag of chips } \times "x"=0.5 x[/tex]
Amount in Sherry cash box after "x" items are sold = initial amount + price of "x" bags of chips
Amount in Sherry cash box after "x" items are sold = 18 + 0.5x ------ (1)
In case of Damien price of "x" ice cream sandwich = [tex]=\text { price of } 1 \text { ice cream sandwich } \times x=0.5 x[/tex]
Amount in Damien cash box after "x" items are sold = initial amount + price of "x" ice cream sandwich
Amount in Damien cash box after "x" items are sold = 12 + 0.75x ------ (2)
As we required expression when amount in both the cash boxes must be equal, on equating (1) and (2) we get
18 + 0.5x = 12 + 0.75x
Hence expression 18 + 0.5x = 12 + 0.75x represents a condition when amount in both the cash boxes will be same.
