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2 years ago

6

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?

1 answer:

valentina_108 [34]2 years ago

8 0

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

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