Raeann, Jade and Reggie baked some shortbreads. Raeann and Jade baked ⁵₇ of the shortbreads. Jade and Reggie baked ³₅ of the shortbreads. Raeann and Reggie baked 576 shortbreads altogether.

1. What fraction of the shortbreads did Raeann and Reggie bake altogether?
2. How many shortbreads did the three girls bake in total?

Raeann	Jade	Reggie	Total
5x5		2x5	7x5
2x7	3x7		5x7
14 u	11 u	10 u	35 u

(a)
The total number of shortbreads remains unchanged. Make the total number of shortbreads the same. LCM of 7 and 5 is 35.

Number of shortbreads baked by Jade
= 21 u - 10 u
= 11 u

Number of shortbreads baked by Raeann and Reggie
= 14 u + 10 u
= 24 u

Total number of shortbreads = 35 u

Fraction of the shortbreads baked by Raeann and Reggie = ²⁴₃₅

(b)
Total number of shortbreads baked by Raeann and Reggie = 24 u

24 u = 576

1 u = 576 ÷ 24 = 24

Total number of shortbreads baked
= 35 u
= 35 x 24
= 840

Answer(s): (a) ²⁴₃₅; (b) 840