Mathematics- Word problem solution

in #steemstem6 years ago

IMG_20180611_062207_253.JPG

A word problem question was posted by @gandhibaba yesterday, so i decided to share my solution on my blog. Solution of the previous COMBINATION exercise will be posted soon

Question:
On Monday, Jim bought three oranges and two mangoes at a nearby store for $25. A few weeks later, JIm went to the same store and bought two oranges with ten mangoes paying $34. Given that the prices remain constant, how much does each item cost?

Solution

Let x represent price of a orange
Let y represent price of a mango

From the first statement,
Jimi bought three oranges( i.e 3x) and two mangoes(i.e 2y) at a nearby store for $25

By writing it mathematically,
3x + 2y = 25 ---------------- eq1

From the second statement,
Jim went to same store and bought two oranges(i.e 2x) with ten mangoes (i.e 10y) paying $34

By writing it mathematically,
2x + 10y= 34 ----------------eq2

Solving eq1 and eq2 simultaneously using elimination method.

Multiply eq1 by 2 6x + 4y =50 -----------eq3
Multiply eq2 by 3 6x + 30y= 102------ eq4

Subtracting eq3 and eq 4
We have,
(6x - 6x) +( 4y - 30y)= 50 - 102
-24y= -52
Divide both side by -24
y= -52/-24 y= 2
Substitute y= 2 in eq1
3x + 2y = 25
3x + 2*2 = 25
3x + 4 = 25
3x= 25 - 4
3x = 21
Divide both side by 3
x = 21/3
x= 7

Recall that x and y are used to represent orange and mango price respectively.

Hence, price of a orange is $7 and price of a mango is 2$

Follow @hayzeed for more tutorial

Sort:  

Keep up the work man!
Wish I could support you with higher votes; you are doing great stuff on steemit

Thanks,I'm happy that someone encourage me.

Go here https://steemit.com/@a-a-a to get your post resteemed to over 72,000 followers.

👍QED. 💯✔️

Thanks

Congratulations! This post has been upvoted from the communal account, @minnowsupport, by Hayzeed from the Minnow Support Project. It's a witness project run by aggroed, ausbitbank, teamsteem, theprophet0, someguy123, neoxian, followbtcnews, and netuoso. The goal is to help Steemit grow by supporting Minnows. Please find us at the Peace, Abundance, and Liberty Network (PALnet) Discord Channel. It's a completely public and open space to all members of the Steemit community who voluntarily choose to be there.

If you would like to delegate to the Minnow Support Project you can do so by clicking on the following links: 50SP, 100SP, 250SP, 500SP, 1000SP, 5000SP.
Be sure to leave at least 50SP undelegated on your account.

Coin Marketplace

STEEM 0.35
TRX 0.12
JST 0.040
BTC 70884.24
ETH 3570.27
USDT 1.00
SBD 4.76