/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2.79 Eric paid $19.88 for stamps. The... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Eric paid $19.88 for stamps. The number of 49-cent stamps was eight more than twice the number of 35-cent stamps. How many 49-cent stamps and how many 35-cent stamps did Eric buy?

Short Answer

Expert verified

The number of 35-cent stamps = 12

The number of 49-cent stamps = 32

Step by step solution

01

Step 1.  Given data

Eric paid $19.88 for stamps. The number of 49-cent stamps was eight more than twice the number of 35-cent stamps.

02

Step 2.  To Find

How many 49-cent stamps and how many 35-cent stamps did Eric buy?

03

Step 2. Explanation

Let the number of 35-cent stamp = x

Then the number of 49-cent stamp = 2x+8

Type
Number×Value($)=TotalValue($)
49 cent stamps2x+80.490.49(2x+8)
35 cent stampsx0.350.35x



$19.88
04

Step 4.  Calculation

After analyzing the table, we can say that -

0.49(2x+8)+0.35x=19.88

0.98P+3.92+0.35x=19.88

1.33P=15.96

P=12

The number of 35-cent stamps = 12

The number of 49-cent stamps = (2x+8)

=(2×12+8)

= 32

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.