Layla is on level 25 of Splat. The image represents her progress on the level so far.
Here are some important notes on her progress:
• Her goal for the level, shown in the bottom left corner of the screen, is to splat all the yellow, green, and blue balloons on the screen.
• She must splat 4 blue balloons, 7 green balloons, and 5 yellow balloons.
• She has already splatted 5 of the 7 green balloons and splatted all 5 of the yellow balloons. She must splat the remaining green and blue balloons to meet the goal.
• Each blue balloon in this level is worth 10 points less than 5 times the value of each yellow balloon.
• In addition to splatting the required balloons, there is a moving target at the end of each level that must be hit before the level is won. The moving target is always worth 1818 of the total points for the level.
• Her cumulative score for the entire game so far, including what she has earned in level 25, is 12,345.
• The following table shows the number of points that must be earned to beat the first three levels. You can assume this pattern will continue.
Level Number
1 2 3 ...
Points Earned to Beat Level 40 80 120 ...

Try It
• Determine the number of points each yellow, green, and blue balloon is worth. Be sure to communicate all the mathematical thinking you used to reach your strategy and solution.
• You may want to use the Desmos graphing calculator to support your solution.