Join the growing community of curious minds on IDNLearn.com and get the answers you need. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

a sporting goods store sells 2 fishing reels and 5 fishing rods for $243. Later , they sell 8 fishing reel and 6 fishing rods for $538. Find the price of each item

Sagot :

So substituting in numbers to see if they come near to the amounts
e.g.

if 1 rod is $30 times this b 5 and = $150
$243 - $150 = $93 divided by 2 = $46.50
Using this information then substitute into the other part of the question
6 rods x $30 = $180
8 reels x $46.50 = $372 
372 + 180 = $552 too big

So start again
Choose 35
1 rod is 35 then 5 x 35 = 175
$243 - $175 = $68 divided by 2 = $34
Using this information then substitute into the other part of the question
6 rods x $35 = $210
8 reels x $34 = $272 
210 + 272 = $482 too small

So choose number nearer to 30 so went for 31

31 x 5 = 155
243 - 155 = 88
88 divided by 2 = 44
So (2 x 44) + (5 x 31) = 243

So substituted in the numbers to part 2
31 x 6 rods = 186
44 x 8 = 352
186 + 352 = $538

So rods are $31
Reels are $44

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.