Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?

Amount left in bag one = 20kg

Amount left in bag 2 = 40 kg

Step-by-step explanation:

We are told that Two bags had 50 kilograms of sugar each.

Let first bag be x and second bag be y.

Now, we are told that After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two.

Thus, amount taken from bag one is;

3a and amount taken from bag two is a.

Amount left in bag 1 is;

50 - 3a while amount left in bag 2 is 50 - a.

Since bag one had half as much sugar left as bag two, then;

50 - 3a = ½(50 - a)

50 - 3a = 25 - 0.5a

50 - 25 = 3a - 0.5a

25 = 2.5a

a = 25/2.5

a = 10

Thus;

Amount left in bag 1 = 50 - 3a = 50 - 3(10) = 50 - 30 = 20 kg.

Amount left in bag 2 = 50 - a = 50 - 10 = 40 kg

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves