# I need to solve this

#### oofer

Jim has a total of $103 in$2 and $3 coupons. If he has 40 coupons in all, how many of each kind does he have? I need an answer to this question, asap. I need to use the substitution method for linear relations. #### oofer ##### New member Jim has a total of$103 in $2 and$3 coupons. If he has 40 coupons in all, how many of each kind
does he have? I need an answer to this question, asap. I need to use the substitution method for linear relations. I was wondering if someone can help walk me through this. I’m having a lot of trouble with it.

Staff member

#### Jomo

If Jim has W $3 coupons then how much are they worth? What can you say about the total value of the coupons? #### oofer ##### New member They are both worth$2 and $3 each. Nothing special #### oofer ##### New member But then it has to equal 103 when you combine 40 of them together #### Subhotosh Khan ##### Super Moderator Staff member But then it has to equal 103 when you combine 40 of them together If Jim has ten$2 coupons then how much are those worth? $$\displaystyle \to \ \ 2 * 10 =  20$$

If Jim has "W" $2 coupons then how much are those worth? $$\displaystyle \to \ \ 2 * W \ \$$ If Jim has "H"$3 coupons then how much are those worth? $$\displaystyle \to \ \ ? \ \$$

If Jim has "W" $2 coupons AND "H"$3 coupons then how much are those worth (in total)? $$\displaystyle \to \ \ ? \ \$$

#### oofer

##### New member
Okay, this helped me a bit, Thanks for your help!

#### Subhotosh Khan

##### Super Moderator
Staff member
Okay, this helped me a bit, Thanks for your help!
Let y = the number of $3 tickets The equation x+y=40 means the number of$2 tickets plus the number of $3 tickets adds up to 40 tickets, altogether. So, we can't say x+y=103 also because 103 is a dollar amount, not a count of tickets. The correct equation is: value of$2 tickets + value of $3 tickets = 103 Subhotosh showed you how to express the values on the left-hand side above, using variables. • Subhotosh Khan and JeffM #### Jomo ##### Elite Member They are both worth$2 and $3 each. Nothing special No, only 1$2 coupons is worth $2. H$2 coupons will be worth ...?

• Subhotosh Khan