Solved on Sep 16, 2023

Joy reads 3/8 of a 352-page novel on Monday, 28 pages on Tuesday, and 1/4 of the novel on Wednesday. How many more pages until she finishes?

STEP 1

Assumptions1. The novel has352 pages. . On Monday, Joy reads 38\frac{3}{8} of the novel.
3. On Tuesday, Joy reads28 pages.
4. On Wednesday, Joy reads 14\frac{1}{4} of the novel.

STEP 2

First, we need to find out how many pages Joy read on Monday. We can do this by multiplying the total number of pages by the fraction she read.
PagesreadonMonday=TotalpagestimesFractionreadonMondayPages\, read\, on\, Monday = Total\, pages \\times Fraction\, read\, on\, Monday

STEP 3

Now, plug in the given values for the total pages and the fraction read on Monday to calculate the pages read.
PagesreadonMonday=352times38Pages\, read\, on\, Monday =352 \\times \frac{3}{8}

STEP 4

Calculate the pages read on Monday.
PagesreadonMonday=352times38=132Pages\, read\, on\, Monday =352 \\times \frac{3}{8} =132

STEP 5

Now, we need to find out how many pages Joy read on Wednesday. We can do this by multiplying the total number of pages by the fraction she read.
PagesreadonWednesday=TotalpagestimesFractionreadonWednesdayPages\, read\, on\, Wednesday = Total\, pages \\times Fraction\, read\, on\, Wednesday

STEP 6

Now, plug in the given values for the total pages and the fraction read on Wednesday to calculate the pages read.
PagesreadonWednesday=352times14Pages\, read\, on\, Wednesday =352 \\times \frac{1}{4}

STEP 7

Calculate the pages read on Wednesday.
PagesreadonWednesday=352times14=88Pages\, read\, on\, Wednesday =352 \\times \frac{1}{4} =88

STEP 8

Now, we can find the total number of pages Joy has read by adding the pages she read on Monday, Tuesday, and Wednesday.
Totalpagesread=PagesreadonMonday+PagesreadonTuesday+PagesreadonWednesdayTotal\, pages\, read = Pages\, read\, on\, Monday + Pages\, read\, on\, Tuesday + Pages\, read\, on\, Wednesday

STEP 9

Plug in the values for the pages read on Monday, Tuesday, and Wednesday to calculate the total pages read.
Totalpagesread=132+28+88Total\, pages\, read =132 +28 +88

STEP 10

Calculate the total pages read.
Totalpagesread=132+28+88=248Total\, pages\, read =132 +28 +88 =248

STEP 11

Now that we have the total pages Joy has read, we can subtract this from the total number of pages in the novel to find out how many more pages Joy has to read.
Pagesleft=TotalpagesTotalpagesreadPages\, left = Total\, pages - Total\, pages\, read

STEP 12

Plug in the values for the total pages and the total pages read to calculate the pages left.
Pagesleft=352248Pages\, left =352 -248

STEP 13

Calculate the pages left.
Pagesleft=352248=104Pages\, left =352 -248 =104Joy has104 more pages to read until she finishes the novel.

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