Glass Nancy

Plz help me algebra word problem?

Two friends went out for pizza and soda after work one day. They each ordered and drank one large soda and ate part of their pizza. They then decided they were still thirsty, so Molly went up to get another soda. Nancy didn't have any money, so she asked if she could share some of Molly's soda. Molly then poured half of her soda into Nancy's glass. Nancy protested, saying it was too much, and she poured one-third of the soda in her glass back into Molly's glass. Molly insisted that Nancy have some more, so she poured one-fourth of the soda in her glass back into Nancy's glass. Of course, Nancy would not take so much soda, so she poured one-fifth of the soda in her glass back into Molly's glass. This went on for quite a while, with each pouring increasing the denominator of the fraction by 1. After 99 pourings, they decided to stop. At this point, how full was each glass of soda?

I believe the formula for Nancy is (1/2) - (1/n)*(1/2) and for Molly it's (1/2) + (1/n)*(1/2)

So it should be something like (1/2) - (1/99)*(1/2) = 98/198 for Nancy and (1/2) + (1/99)*(1/2) = 100/198 for Molly. Reduce it.

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Baccarat Crystal Glassware Nancy Wine Claret Glass 5 1 2
Baccarat Crystal Glassware Nancy Wine Claret Glass 5 1 2
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RARE VINTAGE SIGNED NANCY FREEMAN 1978 STUDIO ART GLASS PULLED FEATHER BUD VASE
RARE VINTAGE SIGNED NANCY FREEMAN 1978 STUDIO ART GLASS PULLED FEATHER BUD VASE
$59.99
RARE VINTAGE SIGNED NANCY FREEMAN 10 77 STUDIO ART GLASS PULLED FEATHER VASE 5
RARE VINTAGE SIGNED NANCY FREEMAN 10 77 STUDIO ART GLASS PULLED FEATHER VASE 5
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Cameo Glass Art Nouveau Vase with Flowers 10 Inch Tall Signed Daum Nancy Tip
Cameo Glass Art Nouveau Vase with Flowers 10 Inch Tall Signed Daum Nancy Tip
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French Daum Nancy Pate de Verre Glass Sculpture of Dove by Etienne 101 500
French Daum Nancy Pate de Verre Glass Sculpture of Dove by Etienne 101 500
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19TH BACCARAT DECANTER CLEAR CUT CRYSTAL CARAFE 125 NANCY PATTERN FRANCE
19TH BACCARAT DECANTER CLEAR CUT CRYSTAL CARAFE 125 NANCY PATTERN FRANCE
$299.99
DAUM AND NANCY 1969 PATE DE VERRE AUTOMNE PLATE
DAUM AND NANCY 1969 PATE DE VERRE AUTOMNE PLATE
$160.00
Antique DAUM NANCY France GLASS VASE MOUNTED TABLE LAMP approx 3550 H
Antique DAUM NANCY France GLASS VASE MOUNTED TABLE LAMP approx 3550 H
$12,733.00
Art Deco Daum Nancy Vase
Art Deco Daum Nancy Vase
$695.00
Vintage Daum Nancy Cross of Lorraine petite cabinet vase Art Nouveau cameo
Vintage Daum Nancy Cross of Lorraine petite cabinet vase Art Nouveau cameo
$900.00
Nancy Fenton Signed Numbered Centennial Manuscript Floral Favrene Amphora Vase
Nancy Fenton Signed Numbered Centennial Manuscript Floral Favrene Amphora Vase
$385.00
E2759 SIGNED DAUM NANCY GLASS CANARY YELLOW VASE CROSS OF LORAINE MARK MINT
E2759 SIGNED DAUM NANCY GLASS CANARY YELLOW VASE CROSS OF LORAINE MARK MINT
$700.00
Baccarat Nancy Claret Wine Glass
Baccarat Nancy Claret Wine Glass
$79.95
DAUM NANCY CAMEO GLASS PERFUME BOTTLE  A TOUT SEIGNEUR TOUT HONNEUR
DAUM NANCY CAMEO GLASS PERFUME BOTTLE A TOUT SEIGNEUR TOUT HONNEUR
$2,499.00
Vintage Daum Nancy Bubbles Bowl or Ash Tray
Vintage Daum Nancy Bubbles Bowl or Ash Tray
$195.00
Large Signed Nancy Freeman Early Studio Art Glass Vase Hand Blown 1979
Large Signed Nancy Freeman Early Studio Art Glass Vase Hand Blown 1979
$100.00
Boyd Glass Nancy Doll Avocado
Boyd Glass Nancy Doll Avocado
$5.99
Boyd Glass Nancy Doll Cranberry R Series
Boyd Glass Nancy Doll Cranberry R Series
$5.99
Boyd Glass Nancy Doll Harvest Gold
Boyd Glass Nancy Doll Harvest Gold
$5.99
Very Rare DAUM NANCY French Cameo Glass Lamp w Griffin Mounts c 1915 antique
Very Rare DAUM NANCY French Cameo Glass Lamp w Griffin Mounts c 1915 antique
$3,500.00
VINTAGE Baccarat Crystal NANCY 1909  Set of 2 Claret Wine Glasses 5 1 2
VINTAGE Baccarat Crystal NANCY 1909 Set of 2 Claret Wine Glasses 5 1 2
$99.88
VINTAGE Baccarat Crystal NANCY 1909  Claret Wine Glass 5 1 2 Made in France
VINTAGE Baccarat Crystal NANCY 1909 Claret Wine Glass 5 1 2 Made in France
$49.88
Daum Nancy France Art Glass Crystal Bowl
Daum Nancy France Art Glass Crystal Bowl
$31.50
Daum Nancy France Art Glass Crystal Bowl
Daum Nancy France Art Glass Crystal Bowl
$31.50
A DAUM NANCY ENAMELED CAMEO GLASS DRESSER BOX
A DAUM NANCY ENAMELED CAMEO GLASS DRESSER BOX
$1,950.00
BACCARAT NANCY No3 AMERICAN WHITE WINE EURO RED WINE 5 1 2 CRYSTAL FRANCE
BACCARAT NANCY No3 AMERICAN WHITE WINE EURO RED WINE 5 1 2 CRYSTAL FRANCE
$139.90
Daum Nancy France pate de verre bird signed Amalric Walter Circa 1900
Daum Nancy France pate de verre bird signed Amalric Walter Circa 1900
$895.00
Daum Nancy France Vase Signed Circa 1900
Daum Nancy France Vase Signed Circa 1900
$1,195.00
Fenton Cobalt Blue Glass Love Birds Snow Crest Nancy Fenton Hand Painted
Fenton Cobalt Blue Glass Love Birds Snow Crest Nancy Fenton Hand Painted
$29.95
RARE Nancy Daum France Crystal Art Glass Vase Centerpiece
RARE Nancy Daum France Crystal Art Glass Vase Centerpiece
$85.00
Vtg Fenton Hand Painted Floral Satin Custard Glass Bud Vase Signed Nancy Gribble
Vtg Fenton Hand Painted Floral Satin Custard Glass Bud Vase Signed Nancy Gribble
$24.99
Rare French Daum Nancy Signed Vase 6 3 4
Rare French Daum Nancy Signed Vase 6 3 4
$699.99
DAUM NANCY FRENCH ART DECO GLASS TABLE LAMP 25 TALL ORIGINAL 1920S
DAUM NANCY FRENCH ART DECO GLASS TABLE LAMP 25 TALL ORIGINAL 1920S
$7,000.00
Rare  Early Daum Nancy Art Nouveau Cameo Glass Vase c1900 Signed
Rare Early Daum Nancy Art Nouveau Cameo Glass Vase c1900 Signed
$1,599.00
Antique Art Nouveau Galle Cameo Art Glass Grapes  Vines 14 Vase Nancy France
Antique Art Nouveau Galle Cameo Art Glass Grapes Vines 14 Vase Nancy France
$2,959.99
Vintage Mid Century Glass Daum Nancy France Bubbles Ashtray Signed 7
Vintage Mid Century Glass Daum Nancy France Bubbles Ashtray Signed 7
$9.99
ELEGANT WHISKEY DOF set of 2 BACCARAT NANCY STYLE PATTERN CUT MADE IN AJKA
ELEGANT WHISKEY DOF set of 2 BACCARAT NANCY STYLE PATTERN CUT MADE IN AJKA
$69.00
Glass dish by Nancy K
Glass dish by Nancy K
$80.00
Daum Nancy French crystal stunning green Vase 15 cm tall signed near base
Daum Nancy French crystal stunning green Vase 15 cm tall signed near base
$178.05
Fenton Opalescent Art Glass Bell Handpainted Strawberries Artist Signed Nancy R
Fenton Opalescent Art Glass Bell Handpainted Strawberries Artist Signed Nancy R
$24.95


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