Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Like

Report

Ian often buys in large quantities. A few months ago he bought several cans of frozen orange juice for $\$ 24 .$ The next time lan purchased frozen orange juice, the price had increased by $\$ 0.10$ per can and he bought 1 less can for the same total price. What was the price per can and the numbers of cans purchased each time?

First purchase: $\$ 1.50$ and 16 boxesSecond purchase: $\$ 1.60$ and 15 boxes

Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 10

Inverse Variation

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Campbell University

Oregon State University

McMaster University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

04:43

Price Increases. Orange ju…

04:04

Food Prices At Philip'…

00:41

The selling price of a ce…

04:28

Bob bought a popcorn, a so…

01:46

Business A grocer sells or…

00:46

A pack of 16 water bottles…

00:25

Shopping Travis bought a p…

00:21

At a concession stand, dri…

01:22

In the following exercises…

02:13

Complete a four-column tab…

here. We're trying to figure out the number of cans purchased and the cost both before and after this change. Let's call see the number of cans and m the cost. We know that the first time they spent $24 on see cans costing M dollars. So 24 equal cm the second time they spent the same amount. But our number of cans went down by one so C minus one and the costs went up by 10 cents. So M plus 0.1. Let's expand this out. We have C times, um, plus 0.1 C minus one times m, which is just m minus 0.1. Now this is all equal to 24 but we also know that 24 equals C. M. So let's substitute that. It's we have C M equals CM's post 240.1 C minus and minus 0.1 a. C a. C. M. On either side, so that's gonna cancel out. So we have zero equals 0.1 C minus. M minus 0.1. Now eventually want to substitute this back in? I noticed that Have a minus m here, so it's add amicable sides and we get em which is the cost equals 0.1 C minus 0.1. Now we're gonna substitute this back in two original equation. So now we have 24 equals. See, Time's a quantity 0.1 C minus 0.1. Let's distribute its way of 24 equals 0.1 C squared, minus 0.1 seat. Subtract the 24 from both sides to get this equal to zero, and we get zero equals 0.1 time C squared minus 0.1 C minus 24. Now, even though there's there, there's decimals in here. This is a quadratic equation. So when you use the quadratic equation, you can figure out your roots. So C is going to equal either 16 or negative 15. Now, negative 15 does not make sense in this context. So the one that we're gonna use is 16. So that means originally we had 16 cans. Never figure out the cost. You're gonna have to do 24 bye bye 16 which gives us a dollar 50. So the cost was a dollar 50. Now, then we know there is a change. They added on 10 cents. So a dollar 50 plus 10 cents is a dollar 60 but because of this we could purchase one fewer camp. So the second time around 15 cans. So there's your answer. 16 cans for a dollar 50 each, and then 15 cans for dollars 60 each.

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its …

Price Increases. Orange juice, a raisin bagel, and a cup of coffee from Kell…

Food Prices At Philip's convenience store the total cost of one medium …

The selling price of a certain video is $\$ 7$ more than the price the stor…

Bob bought a popcorn, a soda, and a hotdog at the movies for $\$ 8.25$ Popco…

Business A grocer sells oranges for $\$ 0.95 each and grapefruits for $\$ 1…

A pack of 16 water bottles cost $\$ 6.72 .$ How much did each bottle cost?

Shopping Travis bought a pair of boots on sale for $\$ 25$ off the original …

At a concession stand, drinks cost 2 dollars each. If Frank buys $x$ drinks,…

In the following exercises, find (a) the amount of the mark-up (b) the list …

Complete a four-column table, write an equation, and solve.Monique sells…

02:56

In $28-33,$ without graphing the parabola, describe the translation, reflect…

00:59

In $3-18,$ write each number in terms of $i$$$-\frac{1}{2} \sqrt{-80…

03:46

The perimeter of a rectangle is 24 feet.a. If $x$ is the measure of one …

00:23

In $3-17,$ find each sum or difference of the complex numbers in $a+b i$ for…

02:07

In $38-45,$ find the multiplicative inverse of each of the following in $a+b…

01:56

In $20-27$ : a. Write each equation in center-radius form. b. Find the coord…

00:37

In $3-41$ , express each product in simplest form. Variables in the radicand…

00:27

In $7-12,$ determine if each graph represents a one-to-one function.

01:37

In $11-16,$ determine if the function has an inverse. If so, list the pairs …

03:53

In $9-26,$ solve each quadratic equation by completing the square. Express t…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.