RoseG012
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PLEASE HELP ASAP! THANKS!

1) How much water should we add to 35 kg of sugar syrup to change its concentration from 30% to 25%?

2) John can create 3 apps in 6 weeks while Ben can do the same job in 2 weeks. How many weeks would it take them to create 10 apps together?

3)If 120% of a is equal to 80% of b, then what is the value of a+b? In terms of a? In terms of b?

Respuesta :

Answer:

See below

Step-by-step explanation:

1) Let us tabulate and see.

                    Sugar content      Water                  Total weight

I syrup          0.3(35) = 10.5      35-10.5 = 24.5          35

II syrup                            0                           x              x

total                               10.5              24.5+x             35+x

concentration in new syrup= [tex]\frac{10.5}{35+X} =0.25\\10.5 = 8.75+0.25x\\1.75 = 0.25x\\x =7 kg[/tex]

7kg of water should be added.

2) John can do 3/6 apps in one week while Ben can do 2/6 apps in one week.

Together they can do 5/6 apps per week.

Hence to do 10 apps they require 12 weeks.

3) 120% of a = 80% of b

i.e. 1.2a = 0.8b

Or 3a=2b

Or a:b = 2:3

By commendo and dividendo we get

a:a+b= 2:5

Or a+b = 5a/2 ... i

Next is

a+b:b =5:3

Or a+b= 5b/3

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