A confectionery sells apple croissants and cherry croissants.
Apple croissants |
Cherry croissants |
5 for $3.40 |
4 for $4.10 |
Kimberly bought an equal number of apple croissants and cherry croissants. She paid $27.60 more for the cherry croissants and the apple croissants.
- How many croissants did she buy?
- How much did she spend altogether?
(a)
Kimberly bought an equal number of apple croissants and cherry croissants. Make the number of apple croissants and cherry croissants 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 apple croissants
= 4 x 3.40
= $13.60
Number of sets of 4 in 20
= 20 ÷ 4
= 5
Cost of 1 set of 20 cherry croissants
= 5 x 4.10
= $20.50
Amount that Kimberly paid more for 1 set of 20 cherry croissants than 1 set of 20 apple croissants
= 20.50 - 13.60
= $6.90
Number of sets of $6.90
= 27.60 ÷ 6.90
= 4
Total number of croissants in 1 set of 20 cherry croissants and 20 apple croissants
= 2 x 20
= 40
Number of croissants that Kimberly bought
= 4 x 40
= 160
(b)
Cost of croissants in 1 set of 20 cherry croissants and 20 apple croissants
= 13.60 + 20.50
= $34.10
Total amount that Kimberly spent altogether
= 4 x 34.10
= $136.40
Answer(s): (a) 160 ; (b) $136.40