Question

a bookshop has a total of 760 pens and rulers. 70% of the pens and 60% ofthe rulers were sold. the owner of the bookshop bought 41 rulers. on the end, the number of pens left was three times the number of rulers left.

300

likes
1499 views

Answer to a math question a bookshop has a total of 760 pens and rulers. 70% of the pens and 60% ofthe rulers were sold. the owner of the bookshop bought 41 rulers. on the end, the number of pens left was three times the number of rulers left.

Expert avatar
Maude
4.7
107 Answers
let he has p pens and r rulers the total is 760 p+r=760 ----eq1 70% pens sold means 0.7p sold therefore 0.3p will be left with him 60% of rulers sold means 0.6r sold therefore 0.4r will be left with him now he bought 41 rulers therefore the total rulers he has is 41+0.4r the number of pens is three times the number of rulers left 3(41+0.4r)=0.3p ---eq2 by eq1 3\left(41+0.4r\right)=0.3\left(760-r\right) 1.2r+123=228-0.3r r=\frac{105}{1.5}=70 p=760-r p=760-70 p=690

Frequently asked questions (FAQs)
What is 0.0037 in scientific notation?
+
What is the equation of a hyperbola with a center at the point (2,-3), a transverse axis of length 10, and a conjugate axis of length 8?
+
What is the relationship between the measures of corresponding angles of two congruent triangles?
+
New questions in Mathematics
How much volume of water in MegaLiters (ML) is required to irrigate 30 Hectare crop area with depth of 20mm?
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
2x-y=5 x-y=4
Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)
Additionally, the boss asked Armando to determine how many toy sales branches he would have in the fifteenth year, knowing that the first year they started with two branches, by the second they already had 5 branches and, by the third year, they had 8 branches. From the above, determine the number of branches it will have for the fifteenth year.
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
A juice shop prepares assorted juices, for their juices they have 5 different types of fruit. How many types of assortments can be prepared in total, if it is considered an assortment to a juice made with two or more fruits?
4X^2 25
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
-4y-6(2z-4y)-6
Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
What is the appropriate measurement for the weight of an African elephant?
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
A mutual fund manager has a $350 million portfolio with a beta of 1.10. The risk-free rate is 3.5%, and the market risk premium is 6.00%. The manager expects to receive an additional $150 million which she plans to invest in several different stocks. After investing the additional funds, she wants to reduce the portfolio’s risk level so that once the additional funds are invested the portfolio’s required return will be 9.20%. What must the average beta of the new stocks added to the portfolio be (not the new portfolio’s beta) to achieve the desired required rate of return?
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
Determine the reduced form of the slope equation equal to 2
In an orchard there are 360 trees and they are distributed in 9 rows with the same number of trees in each row. 2 are rows of orange trees, 4 of apple trees and the rest are of pear trees. What fraction of the trees in the orchard are of each type of fruit tree? How many trees of each type are there?
calculate the product of 4 and 1/8
12[4 + (8 + 7) + 5]