Regan scored 1,309 points by collecting 11 coins. In all, how many coins does Regan have to collect to score a total of 1,904 points? Assume the relationship is directly proportional.
coins
Let x be the number of coins Regan needs to collect to score 1,904 points.
We can set up a proportion to solve for x:
1309 points / 11 coins = 1904 points / x coins
Cross-multiplying, we get:
1309 * x = 11 * 1904
1309 * x = 20944
Dividing both sides by 1309, we get:
x = 20944 / 1309
x ≈ 16
Therefore, Regan needs to collect approximately 16 coins to score a total of 1,904 points.