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Question

Bell and Eva are sharing 1600 ml of maple syrup. Eva receives 3/5 of the amount received by Bell minus 40 ml. How many milliliters of maple syrup does each of them receive?

(Thanks once again for the help.)

Answer 1

Two equations are given. Eva gets 3/5 of Bell's amount minus 40 ml. And the total shared is 1600 ml

e = (3/5)b - 40
e + b = 1600

Substitute the first equation into the second one:

e + b = 1600
((3/5)b - 40) + b = 1600
(8/5)b = 1640
b = 1640 * 5/8
b = 1025

Use either equation with the now-known value for b, to calculate e:

b + e = 1600
1025 + e = 1600
e = 1600 - 1025
e = 575

Check the answer with the other original equation:

e = (3/5)b - 40
575 =? (3/5)1025 - 40
575 =? 615 - 40
575 = 575

So your answers are:

Bell gets 1025 ml
Eva gets 575 ml

Answer 2

x = amount received by Bell
(3/5)x - 40 = amount received by Eva

x + (3/5)x - 40 = 1600
(8/5)x - 40 = 1600
(8/5)x = 1640
x = (1640)(5/8) = 1025 (3/5)(1025) - 40 =

Bell got 1025 ml and Eva got 575 ml

Answer 3

Let B = #ml of syrup that Ben receives
Then Eva gets (3/5)B - 40 = 0.6B - 40 ml

B + (0.6B - 40) = 1600
1.6B = 1600 + 40
B = 1640/1.6 = 1025 ml = Ben's share
and Eva gets 1600 - B = 575 ml

(Check: 0.6B - 40 = (0.6)(1025) - 40 = 615-40 = 575 )

Answer 4

properly it somewhat is quite straightforward, so in step with hazard you elect for some help with the basics. once you have 2 expressions, one on the left component to an "=" and one on the staggering, you're loose to do the comparable operation of the two component to the "=" sign. this implies you are able to upload, subtract, multiply, and so on the comparable value of the two components of the "=", and the equality remains authentic. on your specific project, the factor is to get to "n=" something at which factor you will possibly desire to have solved for n so... commencing from n/5 = 8 you are able to multiply the two components by utilising 5 (n/5) x 5 = 8 x 5 on the left section, the two fives cancel one yet another out, on the staggering section 8x 5 = 40 so which you eventually finally end up with n = 40 and you're completed. As you get into this slightly farther, you will get extra complicated issues that require better than one step. as an occasion in case you have been provided with 3a + 4 = 22 then you definately might desire to subract 3 from the two components: 3a + 4 - 4 = 22 - 4 or 3a = 18 Then divide the two components by utilising 3 to get 3a/3 = 18 /3 the three's on the left cancel, and 18/3 = 6 leaving you with a = 6