Answer:
Unit price of small prints=y=0.5
Unit price of large prints=x=1.25
Step-by-step explanation:
Let the price for each unit of large prints be x, and the price of each unit of the small prints be y.
Andy orders 40 small prints each at a unit price of y,this can be expressed as 40×y=40y, he also orders 10 large prints each at a unit price of x, this can be expressed as 10×x=10x.
The total amount the Andy spends on all prints=Total he spends on small prints +Total he spends on large prints
Where the Total he spends on all prints=32.50
Total he spends on small prints=40y
Total he spends on large prints=10x
Replacing;
10x+40y=32.50 ...Equation 1
Alex on the other hand orders 20 small prints each at a unit price of y,this can be expressed as 20×y=20y, he also orders 8 large prints each at a unit price of x, this can be expressed as 8×x=8x.
The total amount the Alex spends on all prints=Total he spends on small prints +Total he spends on large prints
Where the Total he spends on all prints=20
Total he spends on small prints=20y
Total he spends on large prints=8x
Replacing;
8x+20y=20 ...Equation 2
Combining equation 1 and 2 and solving:
4(10x+40y=32.50) >>>>>>>40x+160y=130
5(8x+20y=20) >>>>>>>> 40x+100y=100
Subtract equation 2 from 1 (40x-40x)+(160y-100y)=(130-100)
60y/60=30/60
y=0.5
Replacing the value of y in equation 2, 8x+20y=20
8x+(20×0.5)=20
8x+10=20
8x/8=10/8
x=1.25
Unit price of small prints=y=0.5
Unit price of large prints=x=1.25
