Math
posted by Eva
The yearbook club is having a bake sale to raise money for the senior class. Large cupcakes are sold for $1.25 each and small cupcakes are sold for $0.75 each. If 105 cupcakes were sold for a total amount of $109.75, how many large cupcakes did the yearbook club sell? A) 43 B) 55 C) 62 D) 16
So I know the answer is 62, but isn't this a question that can only be answered because we have the 4 multiple choice answers to test? Can this be figured out if we didn't have the answers?

Reiny
This can be done with simple algebra, but I don't know if you have studied that already. If so ...
let the number of large cupcakes be x
let the number of small ones be y
x+y = 105 > y = 105x
cost equation:
1.25x + .75y = 109.75
or, multiply each term by 100
125x + 75y = 10975
divide each term by 25
5x + 3y = 439
sub in the above value for y
5x + 3(105x) = 439
5x + 315  3x = 439
2x = 124
x = 62 , which you had indicated was the correct answer.
Respond to this Question
Similar Questions

math
Max is having a party with 38 people. He wants enough cupcakes to feed everyo.ne. If cupcakes are sold in packs of 6, how many packs will he need to buy? 
maths
Please help! At a cup cake baking competition, Alan baked 55 fewer cupcakes than Tom while Sally baked twice as many cupcakes as what Alan and Tom baked together. If the three of them baked a total of 1125 cupcakes, how many cupcakes … 
4TH GRADE MATH
MS T BOUGHT CUPCAKES FOR HER 3RD GRADE CLASS. MS. CASA BOUGHT TWICE AS MANY CUPCAKES AS MS T, AND 4 TIMES AS MANY CUPCAKES AS MS. G. MS. G BOUGHT 241 CUP CAKES. A. HOW MANY CUPCAKES DID MS T BUY? 
Math
A and B had an equal numbers of cupcakes at first. After B bought twice as many cupcakes as he had at first and A gave away 26 cupcakes, B had 6 times as many cupcakes as A. How many cupcakes did A have at first? 
math
the yearbook club is having a bake sale to raise money for the senior class. LArge cupcakes are sold for 1.25 and small cupcakes are .75. If 105 cupcakes were sold for a total amount of 109.75, how many large cupcakes did the yearbook … 
Math
The yearbook club is having a bake sale to raise money for the senior class. Large cupcakes are sold for $1.25 each and small cupcakes are sold for $0.75 each. If 105 cupcakes were sold for a total amount of $109.75, how many large … 
maths
mrs chan baked some cupcakes. She gave 1/6 of the cupcakes to her neighbour and 7/10 of this remaining cupcakes to her sister. If she had 12 cupcakes left, how many cupcakes did she bake together? 
math
Sarah baked 78 cupcakes for the bake sale. Gabby baked 45 cupcakes for the bake sale. 93 cupcakes were sold at the bake sale. Which is a way to find the number of cupcakes NOT sold? 
Algebra
Can you please help with this question: The cheerleaders are having a bake sale to raise funds for new uniforms. The group sell cupcakes for $3 each and make a profit of $840 from the sales. If X represents the number of cupcakes the … 
math
A bake sale sells cupcakes and cookies. One day they sell: up to 50 cupcakes up to 60 cookies no more than a total of 90 cupcakes and cookies. Let x be the number of cupcakes sold. Let y be the number of cookies sold. a. Show the region …