Question
Sam used cement and sand to prepare a mixture. The ratio of the number of pails of cement used to the number of pails of sand used was 1:2. Sam then added 8 more pails of cement and the ratio became 5:2.
A.) How many pails of cement was used at first?
B.) How many pails of sand was used?
A.) How many pails of cement was used at first?
B.) How many pails of sand was used?
Answers
original amount of cement = x
original amount of sand = 2x
new amount of cement = x + 8
new amount of sand = 2x
(x+8)/(2x) = 5/2
cross-multiply
10x = 2x + 16
8x = 16
x = 2
A) original amount of cement = 2 pails
B) original amount of sand = 4
check:
new amount of cement = 2+8=10
new amount of sand = 4
10: 4 = 5:2
original amount of sand = 2x
new amount of cement = x + 8
new amount of sand = 2x
(x+8)/(2x) = 5/2
cross-multiply
10x = 2x + 16
8x = 16
x = 2
A) original amount of cement = 2 pails
B) original amount of sand = 4
check:
new amount of cement = 2+8=10
new amount of sand = 4
10: 4 = 5:2
Related Questions
mr kim mixes cement&sand to make a mixture.he uses 2 pails of cement for every 5 pails of sand.
a)...
Mr Kim mix cement and sand to make a mixture.He uses 2 pails of cement for every 5 pails of sand.
(...
A construction worker worker mixes cement and sand to make motar. He always uses the same ratio of c...