X=small bag
y=large bag
5x+3y=260
4x+2y=200
(5x+3y=260)*4 =20x+12y=1040
(4x+2y=200)*5 =20x+10y=1000
subtract two equations: 2y=40
divide: y=20
plug y in 5x+3*20=260
simplify x=40
small bag=$40
large bag=$20
Answer:
See attached
Step-by-step explanation:
When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.
For a linear equation in standard form, ax +by = c
- the x-intercept is: c/a
- the y-intercept is: c/b
- the slope is: m = -a/b
Of course, the slope-intercept form of the equation is ...
y = (slope)·x + (y-intercept)
and the values of the various points on the graph can be computed from that equation.
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You will note that the last two equations describe the same line.
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<em>Note on spreadsheet formulas</em>
When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.
http://www.stgeorges.co.uk/blog/how-can-i-describe-a-graph-ielts-writing-task-part-1-business-english
Store one since the 15% is take off 90 dollars which makes it 510