There were 5 items on Johnny's and 13 items on Bobby's Christmas lists
Step-by-step explanation:
The given is:
- Bobby's Christmas list had 3 more than twice as many items on it than Johnny's list
- Johnny asked for 8 fewer items than Bobby
- Johnny's list has x items
- Bobby's list has y items
We need to find how many items on Johnny's list and Bobby's list
∵ Bobby's Christmas list had 3 more than twice as many
items on it than Johnny's list
∵ Johnny's list has x items
∵ Bobby's list has y items
∴ Equate y by 2 times x plus 3
∴ y = 2x + 3 ⇒ (1)
∵ Johnny asked for 8 fewer items than Bobby
- Equate x by y minus 8
∴ x = y - 8 ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (2) by equation (1)
∵ x = (2x + 3) - 8
- Add like terms in the right hand side
∴ x = 2x + (3 - 8)
∴ x = 2x - 5
- Subtract 2x from both sides
∴ -x = -5
- Divide both sides by -1
∴ x = 5
Substitute the value of x in equation (1) to find y
∵ y = 2(5) + 3
∴ y = 10 + 3
∴ y = 13
There were 5 items on Johnny's and 13 items on Bobby's Christmas lists
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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