Rachel bought six 20-cent stamps and eight 30-cent stamps.
Step-by-step explanation:
Given,
Amount spent on stamps = $3.60 = 3.60*100 = 360 cents
Let,
x = 20 cent stamps
y = 30 cent stamps
According to given statement;
20x+30y=360 Eqn 1
x = y-2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex]20(y-2)+30y=360\\20y-40+30y=360\\50y=360+40\\50y=400[/tex]
Dividing both sides by 50
[tex]\frac{50y}{50}=\frac{400}{50}\\y=8[/tex]
Putting y=8 in Eqn 2
[tex]x=8-2\\x=6[/tex]
Rachel bought six 20-cent stamps and eight 30-cent stamps.
Keywords: linear equation, substitution method
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