Joey bought 8 pounds of bananas.
Step-by-step explanation:
Given,
Cost of bananas per pound = $0.55
Coupon = $0.75
Final total = $3.65
(a) write a variable and tell what it represents
Let,
x be the pounds of banana bought by Joey.
(b) write an equation to represent this situation
Cost per pound * Number of pounds - Coupon = Final Total
0.55x - 0.75 = 3.65
(c) solve and explain why your answer makes sense.
Adding 0.75 on both sides
[tex]0.55x-0.75+0.75=3.65+0.75\\0.55x=4.40\\[/tex]
Dividing both sides by 0.55
[tex]\frac{0.55x}{0.55}=\frac{4.40}{0.55}\\x=8[/tex]
We will put x=8 in Eqn 1 to check;
[tex]0.55(8) - 0.75 = 3.65\\4.40-0.75 = 3.65\\3.65 = 3.65[/tex]
Therefore,
Joey bought 8 pounds of bananas.