Answer: D) [tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]
Step-by-step explanation:
Let 'm' represents the number of Mylar balloons and 'l' represents the number of latex balloons.
Given : Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each.
i.e. cost of m Mylar balloons in dollars = 1.25 m
i.e. cost of l Latex balloons in dollars = 0.75 l
Then, the equations can be used to find the number of each type of balloon in a bunch of 18 balloons that costs $19 will be :-
[tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]
Hence, the correct answer is Option D.[tex]m+l=18\\\\1.25 m+0.75 l=19[/tex]
The equations which can be used from the options given are :
(m + l) = 18
($1.25l + $0.75m) = $19
Cost per mylar balloon, m = $1.25
Cost per latex balloon, l = $0.75
Number of balloons in bunch = 18
Cost of bunch = $19
The cost can be expressed as :
(unit cost of each Ballon × number of each Ballon in a bunch) = total cost of bunch
($1.25l + $0.75m) = $19
Since the total Number of balloons in bunch = 18
And only mylar and latex balloons are present in the bunch ;
Then ;
(Number of mylar+number of latex) balloons = 18
(m + l) = 18
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