2006 AMC 12B Problems/Problem 14
Revision as of 10:46, 4 July 2013 by Nathan wailes (talk | contribs)
Problem
Elmo makes sandwiches for a fundraiser. For each sandwich he uses
globs of peanut butter at
cents per glob and
blobs of jam at
cents per glob. The cost of the peanut butter and jam to make all the sandwiches is
2.53
B
J
N
N>1
\mathrm{(A)}\ 1.05
\qquad
\mathrm{(B)}\ 1.25
\qquad
\mathrm{(C)}\ 1.45
\qquad
\mathrm{(D)}\ 1.65
\qquad
\mathrm{(E)}\ 1.85
253=N(4B+5J)$(The numbers are in cents)
since$ (Error compiling LaTeX. Unknown error_msg)253=11\cdot23N
4B+5J=11
23
11
B
J
N=11
4B+5J=23
B=2
J=3
4B+5J=4(2)+5(3)=23
N(5J)=11(15)=165
1.65\implies\mathrm{(D)}$
See also
2006 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 13 |
Followed by Problem 15 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All AMC 12 Problems and Solutions |
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