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Aleks [24]
3 years ago
11

Divide £32 in a ratio of 3:7

Mathematics
2 answers:
lord [1]3 years ago
3 0
3 + 7 = 10

32 ÷ 10 = 3.2

3.2 × 3 = 9.6

3.2 × 7 = 22.4

£9.60 : £22.40
Luden [163]3 years ago
3 0
3x+7x=\pounds32\\
10x=\pounds32\\
x=\pounds3.2\\
3x=3\cdot\pounds3.2=\pounds9.6\\
7x=7\cdot\pounds3.2=\pounds22.4\\\\
\boxed{\pounds9.6 \text{ and } \pounds22.4}
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Step-by-step explanation:

More than means add to, is means equal

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Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr
Katena32 [7]

Answer:

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

<u>d = 5 ⇒ s = 2 * 5 = 10</u>

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

<u>We proved d = 5 and s = 10 are correct</u>

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Step-by-step explanation:

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$1.25
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Step-by-step explanation:

I just used a calculator. Hope this helps. :)

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