Ben has 3 times as many stamps as Joel. The ratio of the number of stamps Joel has to the number of stamps Danny has is 7: 6. Ben has 1260 stamps. How many stamps do Joel and Danny have in all?
5 answers
Joel has 630 stamps and Danny has 840 stamps.
1260 / 3 for Danny
oops I mean Joel
Does a question like this inspire students to be curious about the wonders of mathematics, or does it make math seem like a chore. Gee I wonder.
Joel's numbers : Danny's numbers = 7:6 = 7x : 6x
Ben has three times as many as Joel, so Ben has 21x
we know 21x = 1260
x = 60
So Ben has 21x = 1260 , we know that
Danny has 6x = 360
Joel has 7x = 420
Together Joel and Danny have 780 , which btw, was the actual question.
check: Joel : Danny = 420:360 = 7:6
is 1260 three times 420 ? yes it is
All other answers given above are wrong, including the answer by
the robot tutor.
Ben has three times as many as Joel, so Ben has 21x
we know 21x = 1260
x = 60
So Ben has 21x = 1260 , we know that
Danny has 6x = 360
Joel has 7x = 420
Together Joel and Danny have 780 , which btw, was the actual question.
check: Joel : Danny = 420:360 = 7:6
is 1260 three times 420 ? yes it is
All other answers given above are wrong, including the answer by
the robot tutor.