Item A costs 15% more than item B. Item B costs 0.5€ more then item C. All 3 items (A, B and C) together cost 5.8€. How much does item A cost?

Question

1147 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-18T14:14:20

#A=€2.3#

Given:

#A=115/100B" "=>" "B=100/115A#

#B=C+0.5" "=>" "C=B-1/2#

#A+B+C=5.8#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substitute for C

#A+B+C=5 8/10" "->" "A+B+(B-1/2)=5 4/5#

Substitute for B

#A+B+(B-1/2)=5 4/5->A+100/115A+100/115A-1/2=5 4/5#

#A(1+200/115)=5 4/5+1/2#

#315/115A=6 3/10#

#A=2 3/10 = 2.3#