A confectionery sells apricot tarts and blueberry tarts.

Apricot tarts	Blueberry tarts
5 for $2.10	4 for $4.90

Emily bought an equal number of apricot tarts and blueberry tarts. She paid $48.30 more for the blueberry tarts and the apricot tarts.

1. How many tarts did she buy?
2. How much did she spend altogether?

(a)
Emily bought an equal number of apricot tarts and blueberry tarts.  Make the number of apricot tarts and blueberry tarts 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 apricot tarts
= 4 x 2.10
= $8.40

Number of sets of 4 in 20
= 20 ÷ 4
= 5

Cost of 1 set of 20 blueberry tarts
= 5 x 4.90
= $24.50

Amount that Emily paid more for 1 set of 20 blueberry tarts than 1 set of 20 apricot tarts
= 24.50 - 8.40
= $16.10

Number of sets of $16.10
= 48.30 ÷ 16.10
= 3

Total number of tarts in 1 set of 20 blueberry tarts and 20 apricot tarts
= 2 x 20
= 40

Number of tarts that Emily bought
= 3 x 40
= 120

(b)
Cost of tarts in 1 set of 20 blueberry tarts and 20 apricot tarts
= 8.40 + 24.50
= $32.90

Total amount that Emily spent altogether
= 3 x 32.90
= $98.70

Answer(s): (a) 120 ; (b) $98.70