**You may start with**

**a) There were 156 more pupils in the playground than in the library, or**

**b) there were 17 more girls in the playground than in the library**

**1/5 of the pupils in the library were girls --> 5 units in library with 1 unit girls**

**5/6 of the pupils in the playground were boys --> 6 UNITS in playground, with 1 UNIT girls**

**Note: unit and UNIT are not the same**

**a)**

**There were 156 more pupils in the playground than in the library**

**Draw 6 UNITS for playground + 156 [divided in 6 parts]**

**Draw 6 UNITS for library, but with 1 UNIT divided into 5 parts**

**P [ ][ ][ ][ ][ ][ ][][][][][][]**

**L [ ][ ][ ][ ][ ][||||]<---156--->**

**156 ÷ 6 = 26**

**Compare the girls in the playground and library**

**26**

**[ ][ ]**

**[ ][|**

**17**

**26 - 17 = 9**

**1 u --> 9 x 5 = 45 Compare the 6 UNITS of playground with 6 UNITS of libary**

**6 u --> 6 x 45 = 170**

**270 + 156 + 270 = 696 pupils**

**There were 696 pupils.**

**Alternative solution (b)**

**----------------------------**

**there were 17 more girls in the playground than in the library**

**[ ][17]**

**[ ]**

**[][17] [][17] [][17] [][17] [] [17] [][17]**

**[] [] [] [] [] <------------156------------>**

**6 u + 17 x 6 --> 5 u + 156**

**1 u --> 156 - 102 = 54**

**5 u --> 5 x 54 = 270**

**270 + 270 + 156 = 696 pupils**

**There were 696 pupils.**

why times by 17

ReplyDeleteGiven: there were 17 more girls in the playground than in the library

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