ahmadka Posted October 14, 2014 Share Posted October 14, 2014 Hi guys ... I've come across a math question which I want to get everyone's opinion on: "Caleb spends $72.50 on 50 hamburgers for the matching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy ?" The answer for the above question is 45, however I don't see how that is calculated. Can someone explain ? Link to comment Share on other sites More sharing options...

alanifamily Posted October 14, 2014 Share Posted October 14, 2014 You have two variables and two equations. Let's say X is regular burgers and Y is double, One equation is for the total cost of the burgers: 1*X+1.5*Y=72.5 Another is for the number of burgers: X+Y=50 Two equations, two unknowns. Subtract the 2nd equation from the first one. You get .5*Y=22.5. Solve for Y. Y=45. Link to comment Share on other sites More sharing options...

ahmadka Posted October 14, 2014 Author Share Posted October 14, 2014 So you're counting 'double burger' as a single burger too ? Doesn't a 'double burger' mean two burgers. I mean, buy one burger for $1, buy 2 for $1.50, and save 50 cents ? The way I see, Caleb can just as well buy 50 single burgers and still the total would be $50, not $72.50. If he buys double burgers too (two burgers), the total cost would be less than $50 .. The wording is ambiguous probably, or is it just me ? Link to comment Share on other sites More sharing options...

kimchijajonshim Posted October 14, 2014 Share Posted October 14, 2014 So you're counting 'double burger' as a single burger too ? Doesn't a 'double burger' mean two burgers. I mean, buy one burger for $1, buy 2 for $1.50, and save 50 cents ? The way I see, Caleb can just as well buy 50 single burgers and still the total would be $50, not $72.50. If he buys double burgers too (two burgers), the total cost would be less than $50 .. The wording is ambiguous probably, or is it just me ? Hahahaha, this is a language/cultural barrier thing. A double burger is not two separate burgers. A double burger is a single burger with twice as much meat. x+y = 50 x + 1.5y = 72.50 Solve for x. Simple as that. Link to comment Share on other sites More sharing options...

alanifamily Posted October 14, 2014 Share Posted October 14, 2014 Hahahaha, this is a language/cultural barrier thing. A double burger is not two separate burgers. A double burger is a single burger with twice as much meat. x+y = 50 x + 1.5y = 72.50 Solve for x. Simple as that. Solve for Y. In your equation, X is the single burger Link to comment Share on other sites More sharing options...

jujubea Posted October 16, 2014 Share Posted October 16, 2014 A double burger means one burger that has two patties of meat in it. English language is crazy confusing, don't sweat it. Link to comment Share on other sites More sharing options...

Brent@GreenlightGRE Posted October 19, 2014 Share Posted October 19, 2014 Caleb spends $72.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy ? We can also solve this question using 1 VARIABLE. Let x = the NUMBER of double burgers purchased Since a total of 50 burgers were purchased, we know that... 50 - x = the NUMBER of single burgers purchased single burgers cost $1.00 each and double burgers cost $1.50 each So ($1.5)(x) = the total COST of the double burgers And ($1)(50 - x) = the total COST of the single burgers The total cost was $72.50 So, (1.5)(x) + (1)(50 - x) = 72.50 Expand: 1.5x + 50 - x = 72.50 Simplify: 0.5x + 50 = 72.50 Subtract 50 from both sides: 0.5x = 22.50 Divide both sides by 0.5 to get: x = 45 So, 45 double burgers were purchased. Cheers, Brent Link to comment Share on other sites More sharing options...

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