Answer:
The cost of the amplifier=$26.33
Step-by-step explanation:
Step 1: Derive expression for amplifier cost and guitar cost
guitar cost=g
amplifier cost=a, but since its costs 1.54 more than 1.26 times the cost of the guitar, a=(1.26×g)+1.54=1.26 g+1.54
amplifier cost=a=1.26 g+1.54
Step 2: Derive the expression for the total cost of guitar and amplifier
Total cost of guitar and amplifier=Cost of guitar+cost of amplifier
where;
Cost of guitar=g
Cost of amplifier=1.26g+1.54
Total cost of guitar and amplifier=46
replacing;
46=g+1.26g+1.54
46=2.26g+1.54
2.26g=46-1.54
2.26g=44.46
g=44.46/2.26
g=19.67
a=(1.26×19.67)+1.54=26.33
The cost of the amplifier=$26.33
