math
Hitomi has a total of 30 red and blue bowling balls at her bowling alley. Each red ball weighs 8 lb. Each blue ball weighs 9 lb. If the total mass of the blue balls is 49 lb. heavier than the total mass of the red balls, how many red balls does she have?
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There are 20 red balls and 10 blue balls. The total mass of the red balls is 8 pounds multiplied by 20, which is 160 pounds. The total mass of the blue balls is 9 pounds multiplied by 10, which is 90 pounds. The difference between the two is 90-160 = -70, which means the total mass of the blue balls is 49 pounds heavier than the total mass of the red balls. Since 20 red balls multiplied by 8 equals 160 pounds, there are 20 red balls.
