1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lozanna [386]
3 years ago
15

Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were rulers. The cost

of the stationery is - a Pencil: $1.20, an eraser: $1 and a ruler: $0.50. She spent a total of 169.50 on all stationery. How much more did she spend on erasers than rulers.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Answer:

Isabelle spent $52.50 more on Erasers than rulers.

Step-by-step explanation:

Step 1

Find the quantity of each stationery bought in fraction

Let us represent the total fraction of what Isabelle bought as: x

1/3x = quantity of pencils bought

5/8 of the remainder = quantity of erasers bought

The remainder = x - 1/3x = 2/3x

5/8 of 2/3x = 5/8 × 2/3x = 5/12x

Hence, 5/12x = quantity of erasers bought

The rest is rulers

1 - (1/3 + 5/12)

1 - (4 + 5/12)

1 - 9/12

1 - 3/4

= 1/4x

Hence, 1/4 = quantity of rulers bought.

Step 2

We find the number of stationeries that Isabelle bought.

The cost of the stationery is

a Pencil: $1.20

an eraser: $1

a ruler: $0.50.

Total amount spent on stationery = 169.50

We have this equation

1.20 × 1/3x + 1 × 5/12x + 0.50 × 1/4x = 169.50

0.4x + 0.4166666667x + 0.125x =

169.50

0.9416666667x = 169.50

x = 169.50 /0.9416666667

x = 179.99999999

Approximately , the number of stationeries that Isabelle bought = x = 180

Step 3

Find the number and the amount spent on each stationery that Isabelle bought

a) i) Quantity of pencils bought = 1/3 x

x = 180

= 1/3 × 180

= 60 pencils

ii) Amount spent on pencils

If 1 pencil = $1.20

60 pencils =

60 × 1.20 = $72

b) i) Quantity of Erasers bought = 5/12x

x = 180

= 5/12 × 180

= 75 pencils

ii) Amount spent on Eraser

If 1 pencil = $1

75 pencils =

75 × 1 = $75

c) i) Quantity of rulers bought = 1/4 x

x = 180

= 1/4 × 180

= 45 pencils

ii) Amount spent on pencils

If 1 pencil = $0.50

45 pencils =

45 × 0.50 = $22.50

Step 4

We were asked to calculate how much more did she spend on erasers than rulers.

In step 3, the amount spent on Erasers = $75

the amount spent on ruler = $22.5

The difference in the amount spent = $75 - $22.5

= $52.5

Therefore, Isabelle spent $52.50 more on Erasers than rulers.

You might be interested in
What is 10kg in pounds
SashulF [63]

Answer:

2.2 pounds per kilogram so:

10x2.2=22 pounds

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Divide, and then round the answer to two decimal places:<br><br> 0.6256108÷0.527
Ne4ueva [31]

Answer:

the answer is 55038271829339

8 0
3 years ago
A distance runner is running an 18-mile race. So far, he has run 43% of the race.
Nezavi [6.7K]
The answer would be Find 40% of 20 because you would round 43% down and 18 up. Hope this helps :) 
8 0
3 years ago
Read 2 more answers
A set of numbers is shown below: {0, 0.6, 2, 4, 6} Which of the following shows all the numbers from the set that make the inequ
Lorico [155]
The given equality hold true when x = 2.

Put x = 2 in inequality.

2(2) + 3 = 4+3 = 7 = R.H.S.

For x = 4 and 6, L.H.S(2x+3) is greater than 7.

Hence for x = 2, 4 and 6, the above inequality holds true.

Hope this helps!
3 0
3 years ago
Read 2 more answers
Solve each equation for p.<br> P+3/m=-1
Otrada [13]

Answer:

P= -m-3

I hope this helps!

3 0
3 years ago
Other questions:
  • A group of friends decided to buy bulk chocolate from a candy store. If some friends each want 5 over 7 of a kilogram of a choco
    8·1 answer
  • What is an equation of the line that passes through the point (5, 4) and is parallel to
    6·1 answer
  • jellybeans cost $0.80 per pound. Howard buys 4.5 pound of jellybeans for himself and 1 pound for his friend. What is the total c
    7·2 answers
  • Two equations are shown:
    5·1 answer
  • Triangle P'Q'R is the image of PQR under a transformation
    10·1 answer
  • PLEASE NEED SOME HELP
    12·1 answer
  • An iron ball has a density of 4 g/cm3.
    14·1 answer
  • Can someone help me, please I'm not the best at math I need the answer ASAP thx
    15·1 answer
  • Find the surface area of the shape below. Round your answer to two decimal places.
    15·1 answer
  • Check off all of the equations that would give infinitely many solution
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!