SOLUTION: Michael bought 2 notebooks and 1 pen for 7$. Rick bought 1 notebook and 5 pens for 8$. How much does the notebook cost ?
Algebra.Com
Question 1025387: Michael bought 2 notebooks and 1 pen for 7$. Rick bought 1 notebook and 5 pens for 8$. How much does the notebook cost ?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make notebooks = x
Make pens = y
2x + y = 7.......(1)
x + 5y = 8.......(2)
Multiply Eq(1) by 5
10x + 5y = 35....(1)
x + 5y = 8.......(2)
Subtract Eq(2) from Eq(1)
9x = 27
x = 3
Substitute x = 3 into Eq(2)
x + 5y = 8
3 + 5y = 8
5y = 8 - 3
5y = 5
y = 1
Notebook costs $3
Pen costs $1
Hope this helps :-)
RELATED QUESTIONS
Need help with setting up equation for...Mary bought 2 notebooks and 3 pens for $14.50.... (answered by stanbon,Alan3354)
Sam paid $70 for 4 similar pens and 2 notebooks. A notebook cost $5 more than a pen. What (answered by FrankM)
3 notebooks and 2 pens cost P330. 2 notebooks and 3 pens cost P240. find the cost of 1... (answered by josgarithmetic,greenestamps,ikleyn)
maria purchased 12 pens and 8 notebooks for $15.00. bob bought 4 pens and 3 notebooks for (answered by checkley75)
Jamie spent 1/4 of her money on 20 notebooks and 48 pens. The cost of each notebook was 3 (answered by ikleyn)
A store is selling 100 notebooks. 36 yellow notebooks, 42 blue notebooks and 22 red... (answered by ewatrrr,ikleyn)
Solve using substitution method
For 2000 dollars are bought 15 notebooks and 12 markers. (answered by josmiceli)
Solve using substitution method
For 2000 dollars are bought 15 notebooks and 12 markers. (answered by Theo,MathTherapy)
Rita had some money. She spent 1/4 of her money on 9 notebooks and
9 pens. The cost of... (answered by Theo,MathTherapy)