Newton buys a guitar for $46 and a guitar amplifier. The amplifier costs $1.54 more then 1.26 times the cost of the guitar. How much does the amplifier cost?

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