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Oliga [24]
3 years ago
11

A belt and a wallet cost $42 while 7 belts and 4 wallets cost $213. Calculate the cost of each item.

Mathematics
2 answers:
irina1246 [14]3 years ago
6 0
4 pair × $42 = 168
3 belts cost 45 and one will cost 15
if belt costs 15 wallet will cost $27
Fittoniya [83]3 years ago
3 0
Let, the cost of a belt = x
cost of a wallet = y

Then, system of equations would be:
x + y = 42
7x + 4y = 213

Multiply 1st equation by 4, 
4x + 4y = 168
Substitute it from 2nd equation, 
3x = 45
x = 15

Now, substitute it in 1st equation, 
15 + y = 42
y = 42 - 15 = 27

In short, Belt costs $15 and wallet costs $27

Hope this helps!
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For large candles, the price is $10. They sold 42, we can say that. 42*10 is the total price or revenue without the cost to make the candles included. The cost to make the candles is $x. So we can say profit for large candles = (420 - 42x).

For small candles. The price is $5 and 56 are sold. The cost is again $x. So the profit for small candles is (280 - 56x).

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