Question

Plz help with these questions, Tysm... need it quickly

Answer 1

Quickly it is.

1/2 of the sugar to bake the cake, 3/8 of it to make tarts, means we've used


`\frac 1 2 + \frac 3 8 = \frac 4 8 + \frac 3 8 = \frac 7 8`

so there's only


`1-\frac 7 8= \frac 1 8`

left.

That's the fraction left; the amount of sugar left is


`\frac 1 8 \cdot \frac 4 5 = \frac 1 {10} = 0.1 \textrm{ kg}`


I forgot Q16.

Let c be the capacity of the jug


`\frac 4 9 c + 650 = \frac 4 5 c`


`650 = \frac 4 5 c - \frac 4 9 c = (36c)/(45) - (20c)/(45)=(16c)/(45)`


`(45)/(16)(650) = (14625)/(8) \approx 1828.1`

Check: I'll check the exact answer; I don't like approximations.


`(4)/(9)\cdot(14625)/(8) = (1625)/(2)`


`(4)/(5)\cdot(14625)/(8) = (2925)/(2)`


`(2925)/(2)-(1625)/(2) =(1300)/(2) = 650 \quad\checkmark`