elmo makes n sandwiches for a fundraiser. for each sandwich he uses b globs of peanut butter at 4 cents per glob and j blobs of jam at 5 cents per blob. the cos
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1. User Answers MrRoyal
The cost in dollar that Elmo used to make one sandwich is $0.23, while he spent $2.53 on all the sandwiches.
Given that:
 He used b globs at 4 cent per glob for the peanut butter
 He used j blobs at 4 cent per blob for the jam
 And he made a total of n sandwiches
The equation of the n sandwiches made is represented as:
[tex]n \times (4b + 5j)=\$2.53[/tex]
Express $2.53 as cents
[tex]n \times (4b + 5j)=253[/tex]
The factors of 253 are 1, 11, 23, 253.
Given that n > 1, then the value of n can either be 11 or 23
Assume n = 11, then the equation becomes
[tex]11 \times (4b + 5j)=253[/tex]
Divide both sides by 11
[tex]4b + 5j=23[/tex]
The possible values of b and j that make the above equation to be true are:
b =2 and j = 3
This is proved as follows:
[tex]4 \times 2 + 5 \times 3=23[/tex]
[tex]8 +15=23[/tex]
[tex]23 = 23[/tex]
Hence, the cost in dollar that Elmo used to make one sandwich is $0.23, while he spent $2.53 on all the sandwiches.
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