A) 70°
B) 71°
C) 72°
D) 73°
number of each type of coin.
Let x and y be the number of 5c and 10c coins respectively.
Use the fact that the total number of coins is 65 to set up Equation 1.
Write the equation in the form ax + by = c, where a is positive.
I'm not sure if it only wants you to find Equation 1 or go further and solve:
x = the number of 5c coins
y = the number of 10c coins
Equation 1: the total number of coins is 65
x + y = 65
total value of $3.80
0.05x + 0.1y = 3.8
Simultaneous Equations
Make one coefficient the same
10 * (0.05x + 0.1y = 3.80 = 0.5x + y = 38
x + y = 65
0.5x + y = 38
Subtract the equations
(x + y) - (0.5x + y)= 65 - 38
(x - 0.5x) + (y - y) = 65 - 38
0.5x = 27
x = 54
Substitute it into the original equation to find y.
x + y = 65
54 + y = 56
y = 65 - 54 = 11
Substitute it into the other equation to check it's right.
0.05x + 0.1y = 3.8
0.05(54) + 0.1(65) = 3.8
x = 54 5c coins
y = 11 10c coins
Answer:
20 games
Step-by-step explanation:
3x – y=10
Only (4,-2)
Only (3, 1)
Both (4, -2) and (3, 1)
Neither