A game is played in which each throw of a ball lands in one of two holes: the closer holeor the farther hole. A throw landing in the closer hole scores 2 points, while a throwlanding in the farther hole scores 5 points. A player’s total score is equal to the sum ofthe scores on their throws. a) Jasmin had 3 throws that each scored 2 points and 4 throws that each scored5 points. What was Jasmin’s total score?(b) Sam had twice as many throws that scored 2 points as throws that scored 5 points.If Sam’s total score was 36 points, how many throws did Sam take?(c) Tia had t throws that each scored 2 points and f throws that each scored 5 points.If Tia’s total score was 37 points, determine all possible ordered pairs (t, f).(d) The game is changed so that each throw scores 6 or 21 points instead of 2 or 5.Explain whether or not it is possible to have a total score of 182 points.
A game is played in which each throw of a ball lands in one of two holes: the closer hole
or the farther hole. A throw landing in the closer hole scores 2 points, while a throw
landing in the farther hole scores 5 points. A player’s total score is equal to the sum of
the scores on their throws.
a) Jasmin had 3 throws that each scored 2 points and 4 throws that each scored
5 points. What was Jasmin’s total score?
(b) Sam had twice as many throws that scored 2 points as throws that scored 5 points.
If Sam’s total score was 36 points, how many throws did Sam take?
(c) Tia had t throws that each scored 2 points and f throws that each scored 5 points.
If Tia’s total score was 37 points, determine all possible ordered pairs (t, f).
(d) The game is changed so that each throw scores 6 or 21 points instead of 2 or 5.
Explain whether or not it is possible to have a total score of 182 points.
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