SOLUTION: Last season, Jake and Jerome scored a total of 16 touchdowns. Jerome scored one more tha twice the number of Jake's touchdowns. How many did each score?

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Question 163335: Last season, Jake and Jerome scored a total of 16 touchdowns. Jerome scored one more tha twice the number of Jake's touchdowns. How many did each score?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of touchdowns that Jake scored.
Let Y be the number of touchdowns that Jerome scored.
.
.
.
There is a relationship between Jake and Jerome's touchdowns.
1.Y=1%2B2X
.
.
.
Together they scored,
2.X%2BY=16
Substitute eq. 1 into eq. 2 and solve for X.
2.X%2BY=16
X%2B%281%2B2X%29=16
3X=15
X=5
Then from eq. 1,
Y=1%2B2X
Y=1%2B2%285%29
Y=11
Jake scored 5, Jerome scored 11.