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TiliK225 [7]
3 years ago
10

3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
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7 0
2 years ago
A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a
Julli [10]

Answer:

quantity a is halfed

Corrected question;

A quantity a varies inversely as a quantity b, if, when b changes a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

Step-by-step explanation:

Analysing the question;

A quantity a varies inversely as a quantity b,

a ∝ 1/b

a = k/b ......1

when b changes a changes in the inverse ratio;

Since the change at the same ratio but inversely, k = 1

So, equation 1 becomes;

a = 1/b

If the quantity b doubles,

ab = 1

a1b1 = a2b2

When b doubles, b2 = 2b1

a1b1 = a2(2b1)

Making a2 the subject of formula;

a2 = a1b1/(2b1)

a2 = a1/2

Therefore, when b doubles, a will be divided by 2, that means a is halfed.

3 0
3 years ago
I need help what is 12 is 75% of what
miskamm [114]

12 is 75% of what

is means equals, of means multiply

12 = 75% * what

12 = .75 * what

divide each side by .75

12/.75 = .75 * what /.75

16 = what

12 is 75 percent of 16

the answer is 16


3 0
3 years ago
Read 2 more answers
32
____ [38]
10/15-57-57 is the answer
6 0
3 years ago
You are purchasing soft drinks for the company annual party. You expect about 32 people to be there. You want to allow at least
qaws [65]
 
<span>32*18=576 oz. </span>



<span>Store A offers 24-12 oz cans for $5.89. That means $5.89 gets you 288 oz. Store B offers 12-12oz cans for $3.79, so that means $3.79 gets you 144oz. </span>

<span>Store A is $5.89 per every 288 oz. You need 576 oz, which is double that. That means it will cost you twice as much as it would buying 24-12 oz cans: </span>
<span>$5.89*2=$11.78 </span>

<span>Store B is $3.79 for 144 oz. As previously stated, you need 576 oz, so you'll need to buy 4 12-packs of 12 oz cans: </span>
<span>$3.79*4=15.16 </span>

<span>So not only is Store A a better deal, but they'll save you $15.16-$11.78=$3.38 dollars. </span>
5 0
3 years ago
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