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olya-2409 [2.1K]
2 years ago
14

James bought 22 candy bars for $137. If the king size candy bars cost $8 and a regular size candy bar cost $5 , how many of each

candy bar did he buy? One equation looks like: x + y= 22 Find the other equation and solve the system.
Mathematics
1 answer:
Gelneren [198K]2 years ago
6 0

Given:

James bought 22 candy bars for $137.

If the king size candy bars cost $8 and a regular size candy bar cost $5.

To find:

The system of equation and solution of it.

Solution:

Let x be the number of king size candy and y be the number of regular size candy.

Quantity: x+y=22           ...(i)

Cost : 8x+5y=137        ...(ii)

Multiply the equation (i) by 5.

5x+5y=110           ...(iii)

Subtract (iii) from (ii).

8x+5y-5x-5y=137-110

3x=27

x=9

Put x=9 in (i).

9+y=22

y=22-9

y=13

Therefore, number of king size candy is 9 and number of regular size candy  is 13.

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