[Question]: Sally was at a self-serve candy shop where you scoop candy from the bins and pay based on the weight. She scoops 32 cherry sours into a bag. Then she gets a scoop of lemon sours, and the ratio of cherry sours to lemon sours is 4:5. Then she gets a scoop of orange sours, and they make up 25% of the sours in the bag. How many sours does she have in total?
[Answer]: She has 4 cherry sours for every 5 lemon sours, so the number of lemon sours = (5 lemon sours * 32 cherry sours) / 4 cherry sours = 40 lemon sours. This puts the total at 32 cherry sours + 40 lemon sours = 72 sours. After the orange sours are added, they make up 25% of the total sours. Let x = the total number of sours. x - 0.25 * x = 72 sours = > 0.75 * x = 72 sours = > x = 72 sours / 0.75 = 96 sours total.
So the answer is 96.

[Question]: This weekend's football game matched the Seattle Seahawks with the Denver Broncos. The final score was 37-23, with the Seattle Seahawks taking the win. If a touchdown is worth 7 points and a field goal is worth 3 points, how many touchdowns did the Seattle Seahawks score if they scored 3 field goals during the game?
[Answer]: The Seattle Seahawks scored 3 field goals during the length of the game and each field goal is worth 3 points, so 3 * 3 = 9 points were made by the Seattle Seahawks from field goals. The Seattle Seahawks won so their total points would be 37 with 9 of those points accrued through the scoring of field goals, which makes 37 - 9 = 28 points left to be scored by touchdowns. There are 28 points scored by touchdowns and each touchdown is worth 7 points, so this means that 28 / 7 = 4 touchdowns were scored by the Seattle Seahawks throughout the game.
So the answer is 4.

[Question]: Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during both years?
[Answer]:
In his senior year, Michael scored 260 1.20 = 312 points. In both his senior and junior years Michael scored 260 + 312 = 572 points.
So the answer is 572.