Sabrina, Vanessa, Archie and Opal shared some pens. Sabrina and Vanessa took
15 of the total number of pens while Archie and Opal took the rest. Vanessa had twice as many pens as Sabrina and Opal had 40 pens. Given that Opal had four times as many pens as Vanessa, how many pens were there altogether?
Sabrina |
Vanessa |
Archie |
Opal |
Total |
1x3 |
4x3 |
5x3 |
1 |
2 |
|
|
|
|
1x2 |
|
4x2 |
|
1 u |
2 u |
4 u |
8 u |
15 u |
Number of pens that Vanessa had is repeated. Make the number of pens that Vanessa had the same. LCM of 2 and 1 is 2.
Number of pens that Opal had = 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Total number of pens
= 15 u
= 15 x 5
= 75
Answer(s): 75