Answer:
The value of each grocery store coupon is $6
Then the value of each drugstore coupon is $3.
Step-by-step explanation:
Let's define:
G = value of a grocery store coupon.
D = value of a drugstore coupon.
We know that:
"A welcome kit contains 3 grocery store and seven drugstore coupons. The coupons are worth $45"
We can write this as:
3*G + 7*D = $45
And we also know that:
"Another welcome kit contains three grocery store coupons and six drugstore coupons worth $42"
We can write this as:
3*G + 6*D = $42
Then we have the system of equations:
3*G + 7*D = $45
3*G + 6*D = $42
To solve this, we can isolate the term "3*G" in one of the equations (because it appears on both of them)
Let's isolate it on the second equation:
3*G = $42 - 6*D
Now let's replace this on the first equation:
($42 - 6*D) + 7*D = $45
$42 + D = $45
D = $45 - $42 = $3
Then the value of each drugstore coupon is $3.
And we also have the relation:
3*G = $42 - 6*D
We can just replace the value of D to get:
3*G = $42 - 6*$3 = $42 - $24 = $18
G = $18/3 = $6
The value of each grocery store coupon is $6
