Question

Albums cost $18 and each picture frame costs $15. The ratio of albums to picture frames bought was 4:3. She paid a total of $1,026 for them

Answer 1

how many thing did she buy total?

Answer 2

You need to create a system of equation (2 equations) and then solve the system.
Let's define x=albums and y=picture frames
One equation comes from the ratio 4:3
x:y=4:3
x/y=4/3

The second equation comes from the knowledge of the cost of each item and the total cost of everything.
for each album the cost is 18. for each frame the cost is 15.
Therefore,
18*x+15*x=total cost=1026

Answer 3

solve for x and y
total number of items = x+y

Answer 4

so it would be \[18x + 15x = 1026\] and can you tell me how i can find x and y pls？

Answer 5

it would be 18x + 15y =1026

Answer 6

2nd equation is
x/y=4/3
x=4y/3

then you use substitution to substitute second equation into the first.
do you know what substitution is?

Answer 7

no sorry

Answer 8

you have to replace x in the 1st equation with (4y/3)
so it would become
18*(4y/3)+15y = 1026
solve this for y

Answer 9

substitution is the act of replacing a variable with an expression that is identical to that variable

Answer 10

ok thanks

Answer 11

is the / a divide or fraction in it?

Answer 12

\[18*(\frac{ 4*y }{ 3})+15*y=1026\]

Answer 13

ok thanks

Answer 14

how do i find y?