On Monday Harold picked up four donuts and two large coffees for the office staff. He paid $4.74. On Tuesday Melinda picked up two donuts and five large coffees for the office staff. She paid $5.93. What is the cost of one donut? What is the cost of one large coffee?
4d+2c = 474
2d+5c = 593
now solve as usual
How do I solve that please explain further
for example
4d+2c = 474
2d+5c = 593 multiply this equation by 2
4d+2c = 474
4d+10c = 1186
---------------------- subtract
0 d - 8 c = - 712
c = 89
now go back and find d from either of the two original equations
To find the cost of one donut, we can set up a system of equations using the information given.
Let's represent the cost of one donut as "x" and the cost of one large coffee as "y".
From the information given on Monday:
4x + 2y = 4.74 ----(Equation 1)
From the information given on Tuesday:
2x + 5y = 5.93 ----(Equation 2)
We have a system of equations with two variables (x and y). To solve this system of equations, we can use the method of substitution or elimination. Let's solve it using the method of substitution.
Let's solve Equation 1 for x:
4x + 2y = 4.74
4x = 4.74 - 2y
x = (4.74 - 2y)/4 ----(Equation 3)
Substitute x in Equation 2 with the value from Equation 3:
2((4.74 - 2y)/4) + 5y = 5.93
(4.74 - 2y)/2 + 5y = 5.93
4.74 - 2y + 10y = 11.86
8y = 11.86 - 4.74
8y = 7.12
y = 7.12/8
y = 0.89
The cost of one large coffee is $0.89.
Substitute the value of y back into Equation 3 to find the cost of one donut:
x = (4.74 - 2(0.89))/4
x = (4.74 - 1.78)/4
x = 2.96/4
x = 0.74
The cost of one donut is $0.74.