EXPLAIN WHY YOU CHOSE TO USE SUBSTITUTION OR ELIMINATION

Question

MIcheal and Dwight went to a candy store. Micheal bought 5 pieces of fudge and 3 pieces of bubblegum for a total of $5.70. Dwight bought 2 pieces of fudge and ten pieces of bubblegum for a total of $3.60 What is the price of one piece of fudge and one piece of bubblegum? Use Systems of equations to solve, either substitution or elimination. EXPLAIN WHY YOU CHOSE TO USE THE METHOD YOU USED AND WHY

Answer 1

Lets say fudge is f and bubblegum is b and we will get 2 equations which are below:-

5f + 3b = 5.70 (equation 1)

2f + 10b = 3.60 (equation 2)

now we want to get the value of 1 thing so that we can get the value of other thing. So we will multiply 1st equation with 2 and 2nd equation with 5 and we will get

10f + 6b = 11.4 (equation 1)

10f + 50b = 18 (equation 2)

Now subtract equation 1 with equation 2 we will get 44b = 7 => b = 7/44 => b = 0.16

then we will keep the value of b in equation 2 and we will get 2f + 10(0.16) = 3.60

2f = 3.60 - 1.6 => 2f = 2 => f = 1

So the price of 1 fudge is $1 and 1 bubblegum is 0.16 cents