Diana baked strawberry, cheese and blueberry shortbreads. There were one-quarter as many blueberry shortbreads as cheese shortbreads and an equal number of blueberry shortbreads as strawberry shortbreads. The cost of each shortbread is given as shown.

1 blueberry shortbread: $1.50
1 cheese shortbread: $1.80
1 strawberry shortbread: $1.30

If she collected $210 from selling all the shortbreads, how many cheese shortbreads were there?

	Blueberry	Cheese	Strawberry
Ratio of shortbreads	1 u	4 u	1 u
Cost of 1 shortbreads	$1.50	$1.80	$1.30
Total Value	1.5 u	7.2 u	1.3 u

Blueberry shortbreads : Cheese shortbreads : Strawberry shortbreads
1 : 4 : 1

Total amount earned from selling all the shortbreads
= 1.5 u + 7.2 u + 1.3 u
= 10 u

10 u = 210
1 u = 210 ÷ 10 = 21

Number of cheese shortbreads
= 4 u
= 4 x 21
= 84

Answer(s): 84