Answer:
He bought 13 pkgs of gum
He bought 12 mints
He bought 4 candy bars
Step-by-step explanation:
Let +a+ = number of packages of gum Terry bought
Let +b+ = number of mints
Let +c+ = number of candy bars
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(1) +a+=+b+%2B+1+
(2) +b+=+3c+
(3) +24a+%2B+10b+%2B+35c+=+572+ ( in cents )
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There are 3 equations and 3 unknowns, so it's solvable
(2) +c+=+b%2F3+
Substitute (2) into (3)
(3) +24a+%2B+10b+%2B+35%2A%28+b%2F3%29+=+572+
Substitute (1) into (3)
(3) +24%2A%28+b+%2B+1+%29+%2B+10b+%2B+35%2A%28+b%2F3+%29+=+572+
(3) +24b+%2B+24+%2B+10b+%2B+%2835%2F3%29%2Ab+=+572+
Multiply both sides by +3+
(3) +3%2A34b+%2B+3%2A24+%2B+35b+=+3%2A572+
(3) +102b+%2B+72+%2B+35b+=+1716+
(3) +137b+=+1644+
(3) +b+=+12+
and
(1) +a+=+b+%2B+1+
(1) +a+=+12+%2B+1+
(1) +a+=+13+
and
(2) +c+=+b%2F3+
(2) +c+=+12%2F3+
(2) +c+=+4+
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He bought 13 pkgs of gum
He bought 12 mints
He bought 4 candy bars
-----------------------
check:
(3) +24a+%2B+10b+%2B+35c+=+572+ ( in cents )
(3) +24%2A13+%2B+10%2A12+%2B+35%2A4+=+572+
(3) +312+%2B+120+%2B+140+=+572+
(3) +572+=+572+
OK
Answer:
Step-by-step explanation:
b. y = 3(5) x
c. y = 3 x
d. y = 5(3) x
14abc and 28a^2b^2c^3