The cost of one pair of gloves is $8.50 and one hat is $6.50
Step-by-step explanation:
Let,
Cost of each pair of gloves = x
Cost of each hat = y
According to given statement;
2x+4y=43 Eqn 1
2x+2y=30 Eqn 2
Subtracting Eqn 2 from Eqn 1
[tex](2x+4y)-(2x+2y)=43-30\\2x+4y-2x-2y=13\\2y=13[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{13}{2}\\y=6.50[/tex]
Putting y=6.5 in Eqn 1
[tex]2x+4(6.50)=43\\2x+26=43\\2x=43-26\\2x=17[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{17}{2}\\x=8.50[/tex]
The cost of one pair of gloves is $8.50 and one hat is $6.50
Keywords: linear equation, elimination method
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