Cody has twice as many pens as Ryan. Ryan has 10 more pens than Luke. They have a total of 102 pens.
- How many pens does Cody have?
- How many pens does Luke have?
(a)
Number of pens that Ryan has = 1 u
Number of pens that Luke has = 1 u - 10
Number of pens that Cody has = 2 u
Total number of pens
= 1 u + 1 u - 10 + 2 u
= 4 u - 10
4 u - 10 = 102
4 u = 102 + 10
4 u = 112
1 u = 112 ÷ 4 = 28
Number of pens that Cody has
= 2 u
= 2 x 28
= 56
(b)
Number of pens that Luke has
= 1 u - 10
= 28 - 10
= 18
Answer(s): (a) 56; (b) 18