Answer:
a) The equation (10s + 8w) represents the calories Bridget ate on Monday and the equation (20s + w) represents the calories she ate the next day.
b) The number of calories in each strawberry is 4 and the number of calories in each vanilla wafer cookie is 19. The solution is s= 4 and w = 19.
Step-by-step explanation:
For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is s and the number of calories in a vanilla wafer cookie is w , the number of calories Bridget ate on Monday is 10s + 8w. The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s + w.
For part B,
we will create two different simultaneous equations.
Equation 1: 10s + 8w = 192
Equation 2: 20s + w = 99
We need to find one of the terms first to solve the other term. For this case, I will solve for w first.
Multiply the first equation by 2.
Equation 3: 20s + 16w = 192*2 = 384.
Now, subtract equation 2 from this new equation.
Equation 4:
(20s + 16w) - (20s + w) = 384 - 99
20s + 16w - 20s - w = 285
15w = 285
This leaves only w left and we can solve w.
w = 285 / 15 = 19
Now, we can solve for s using equation 2.
20s + 19 = 99
20s = 99-19 = 80
Hence,
s = 80/20 = 4
