A closet containing 120 pieces of clothing is made of sweaters, jeans, and skirts. The ratio of sweaters to jeans is 8:3, and th e ratio of jeans to skirts is 3:4. If 4 of the pairs of jeans were taken out of the closet and were replaced by 4 skirts, what will be the new ratio of jeans to skirts?
2 answers:
Answer:
5/9
Step-by-step explanation:
Context for variables
sw: number of sweaters
j: number of jeans
sk: number of skirts
The following three equations are established from the question:
sw + j + sk = 120
sw/j = 8/3
j/sk = 3/4 or sk/j = 4/3
Dividing the first equation by j, we get:
sw/j + j/j + sk/j = 120/j
8/3 + 1 + 4/3 = 120/j
5 = 120/j
j = 120/5 = 24
sw = 24*8/3 = 64
sk = 24*4/3 = 32
After the replacement the new number of jeans and skirts are:
j' = 24 - 4 = 20
sk' = 32 + 4 = 36
the new ratio of jeans to skirts is:
j'/sk' = 20/36 = 5/9
Answer:
C, 5:9
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Hello,
= 2/5
Solution.
<span>
= The denominators are the same so you subtract the numerator. Your answer should be </span>
simplified your answer is
.
Have A Good Day!
[-8,8] because both points are closed points.
Answer:
68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
= 2/5 
= The denominators are the same so you subtract the numerator. Your answer should be </span>
simplified your answer is 
.