A confectionery sells blueberry sandwiches and cherry sandwiches.
| Blueberry sandwiches |
Cherry sandwiches |
| 5 for $4.20 |
4 for $4.90 |
Marion bought an equal number of blueberry sandwiches and cherry sandwiches. She paid $23.10 more for the cherry sandwiches and the blueberry sandwiches.
- How many sandwiches did she buy?
- How much did she spend altogether?
(a)
Marion bought an equal number of blueberry sandwiches and cherry sandwiches. Make the number of blueberry sandwiches and cherry sandwiches the same. LCM of 5 and 4 is 20.
Number of sets of 5 in 20
= 20 ÷ 5
= 4
Cost of 1 set of 20 blueberry sandwiches
= 4 x 4.20
= $16.80
Number of sets of 4 in 20
= 20 ÷ 4
= 5
Cost of 1 set of 20 cherry sandwiches
= 5 x 4.90
= $24.50
Amount that Marion paid more for 1 set of 20 cherry sandwiches than 1 set of 20 blueberry sandwiches
= 24.50 - 16.80
= $7.70
Number of sets of $7.70
= 23.10 ÷ 7.70
= 3
Total number of sandwiches in 1 set of 20 cherry sandwiches and 20 blueberry sandwiches
= 2 x 20
= 40
Number of sandwiches that Marion bought
= 3 x 40
= 120
(b)
Cost of sandwiches in 1 set of 20 cherry sandwiches and 20 blueberry sandwiches
= 16.80 + 24.50
= $41.30
Total amount that Marion spent altogether
= 3 x 41.30
= $123.90
Answer(s): (a) 120 ; (b) $123.90
