# Question

Hi, could I please have help with this question?

A game booth has 3 point, 5 point and 10 point targets. Bobby hit 12 targets and scored 62 points altogether. How many 3 point targets did he hit?

Source: homework

Assuming the child knows multiplication,

62  => the 2 points would have come from the 3 points, since multiples of 5 and 10 cannot achieve 2.

3 point x 4 = 12

Hence,  he hit 4 3-point target.

Check:  4 are 3-points => remainder  of targets = 8   and remainder for points = 62-12 = 50

6 x 5 = 30

2 x 10 = 20

Total = 50 points and targets = 8

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Alternatively, guess and check method:

No of targets            3 point           5 point             10point          Sum of 5 -point and 10 point possible?

1                        3                      <——  59 ———–>            59 cannot be a sum of 5s and 10s

2                 3+3=6                     <——-56 ———–>               No

3               3+3+3=9                  <——-53 ———–>                  No

4               3+3+3+3=12            <——-50 ———–>                 Yes

Hence,  he hit 4 3-point target.

Note:  The child has to understand that addition of 5s and 10s can only end with numbers with 5 or 0 in the last digit for the guess and check up there.