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LiRa [457]
3 years ago
11

Malcolm Little High School has sopho- mores, juniors, and seniors, but no freshmen. The ratio of sophomores to juniors is 5 to 4

, and the ratio of juniors to seniors is 3 to 2. If there are 300 sophomores, how many seniors are there?
Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

161 seniors

Step-by-step explanation:

According to the problem, given data are as follows:

Total number of sophomores = 300

Sophomores to junior ratio = 5:4

So, Number of Juniors = 300 ×  (4 ÷ 5)

= 240

Now, Juniors to senior ratio = 3:2

So, we can calculate the number of seniors by using following method:

Number of seniors = 240 × ( 2 ÷ 3)

= 240 × 0.67

= 160.8 or 161

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1.
12 liters of 26% acid solution contain 26\% \times 12=0.26 \times 12=3.12 liters of acid.
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\frac{0.4x+3.12}{12+x}=0.33 \\ 0.4x+3.12=0.33(12+x) \\ 0.4x+3.12=3.96+0.33x \\&#10;0.07x=0.84 \\&#10;x=12

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