jmc

Question

In Theresa's first 8 basketball games, she scored 7, 4, 3, 6, 8, 3, 1 and 5 points. In her ninth game, she scored fewer than 10 points and her points-per-game average for the nine games was an integer. Similarly in her tenth game, she scored fewer than 10 points and her points-per-game average for the 10 games was also an integer. What is the product of the number of points she scored in the ninth and tenth games?

Accepted Answer

The total number of points from the first 8 games is 7+4+3+6+8+3+1+5=37. We have to make this a multiple of 9 by scoring less than 10 points. The closest multiple of 9 is 45. 45-37=8. Now we have to add a number to get a multiple of 10. The next multiple is 50 we added 5, multiplying these together you get 85 is 40. The answer is 40.