SOLUTION: I have to define the variables( write "let" statements) and write the equation for the problem and solve. Mrs Smith paid for her tea using 26 coins made up of quarters and dimes

Algebra ->  Human-and-algebraic-language -> SOLUTION: I have to define the variables( write "let" statements) and write the equation for the problem and solve. Mrs Smith paid for her tea using 26 coins made up of quarters and dimes      Log On


   



Question 1055366: I have to define the variables( write "let" statements) and write the equation for the problem and solve.
Mrs Smith paid for her tea using 26 coins made up of quarters and dimes. Her bill totaled $4.70. How many of each type of coin did she use?
Thanks so much

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +q+ = number of quarters
Let +d+ = number of dimes
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(1) +q+%2B+d+=+26+
(2) +25q+%2B+10d+=+470+ ( in cents )
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(2) +5q+%2B+2d+=+94+
Multiply both sides of (1) by +2+ and
subtract (1) from (2)
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(2) +5q+%2B+2d+=+94+
(1) +-2q+-+2d+=+-52+
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+3q+=+42+
+q+=+14+
and
(1) +14+%2B+d+=+26+
(1) +d+=+12+
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She used 14 quarters and 12 dimes
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check:
(2) +25q+%2B+10d+=+470+
(2) +25%2A14+%2B+10%2A12++=+470+
(2) +350+%2B+120+=+470+
(2) +470+=+470+
OK