Download Work, Mixture Word Problems

ID: 1
Algebra III/Trigonometry
Name___________________________________
Work, Mixture Word Problems
Date________________ Period____
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Solve each question. Round your answer to the nearest hundredth.
1) Perry can install a new deck in 10 hours.
Lisa can install the same deck in 15 hours.
Find how long it would take them if they
worked together.
2) Working alone, Mary can pick forty bushels
of apples in 8 hours. Kathryn can pick the
same amount in 13 hours. Find how long it
would take them if they worked together.
3) Working together, Jacob and Mark can pick
forty bushels of apples in 5.22 hours. Had
he done it alone it would have taken Mark
15 hours. How long would it take Jacob to
do it alone?
4) Working together, Paul and Heather can
harvest a field in 5.74 hours. Had she done
it alone it would have taken Heather 11
hours. Find how long it would take Paul to
do it alone.
©6 o2g0P1K2T nKWuHt2az 5SCoPfVtSwnaCrueO TLQLuCR.H C AAplSlT OrEilgJhat0s7 Wr2ensaedrAvGeSdc.L 1 fMaaXdLek owuiItyh3 AI3nDf5iQnPiHtCel gAklygNemb7rwaF Z2Z.M
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Worksheet by Kuta Software LLC
5) How many lb of Indonesian cinnamon
which costs $20/lb must be added to 2 lb of
Thai cinnamon which costs $14/lb to make
Brand M Cinnamon which costs $16/lb?
6) 6 oz of walnuts were mixed with 1 oz of
peanuts which cost $5/oz to make mixed
nuts which cost $11/oz. What is the price
per oz of walnuts?
7) Elisa mixed together 6 gal. of Brand A fruit
drink and 8 gal. of Brand B fruit drink
which contains 47% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 50% fruit juice.
8) Wilbur made a nut mixture that contains
80% peanuts by mixing 20 oz. of mixed nuts
with 6 oz. of peanuts. The mixed nuts
contained what percent peanuts?
9) Rob asked you to make 15 L of fruit punch
that contains 24% fruit juice by mixing
together some amount of Brand A fruit
punch and some amount of Brand B fruit
punch. Brand A contains 40% fruit juice
and Brand B contains 10% fruit juice. How
much of each do you need?
10) To build the garden of your dreams you
need 9 yd³ of soil containing 25% sand.
You have two types of soil you can combine
to achieve this: soil with 45% sand and soil
with 15% sand. How much of each soil
should you use?
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Worksheet by Kuta Software LLC
ID: 1
Algebra III/Trigonometry
Name___________________________________
Work, Mixture Word Problems
Date________________ Period____
©I i2m0t1V2l rK5uJtkaC bSwoPfAtHwMagr3ei 5LaLOCB.t G EAKlllJ MrgiTg5hztTs1 hrVe1sUeUrPvEe2dI.S
Solve each question. Round your answer to the nearest hundredth.
1) Perry can install a new deck in 10 hours.
Lisa can install the same deck in 15 hours.
Find how long it would take them if they
worked together.
2) Working alone, Mary can pick forty bushels
of apples in 8 hours. Kathryn can pick the
same amount in 13 hours. Find how long it
would take them if they worked together.
6 hours
3) Working together, Jacob and Mark can pick
forty bushels of apples in 5.22 hours. Had
he done it alone it would have taken Mark
15 hours. How long would it take Jacob to
do it alone?
4.95 hours
4) Working together, Paul and Heather can
harvest a field in 5.74 hours. Had she done
it alone it would have taken Heather 11
hours. Find how long it would take Paul to
do it alone.
8.01 hours
©K z2a0N102U uKbuXteaW 9SVoVfnt3w2airLef 5LoLPCN.E H fAllllW GrBiFgOhpt1st jrWegs0eWrsvVeUdz.0 r VMzaBdHeV awUi6tPh6 WIPnnfkiunviNtDet lA8lRgveebtrlaw C2X.x
12 hours
-1-
Worksheet by Kuta Software LLC
5) How many lb of Indonesian cinnamon
which costs $20/lb must be added to 2 lb of
Thai cinnamon which costs $14/lb to make
Brand M Cinnamon which costs $16/lb?
6) 6 oz of walnuts were mixed with 1 oz of
peanuts which cost $5/oz to make mixed
nuts which cost $11/oz. What is the price
per oz of walnuts?
1 lb
7) Elisa mixed together 6 gal. of Brand A fruit
drink and 8 gal. of Brand B fruit drink
which contains 47% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 50% fruit juice.
$12/oz
8) Wilbur made a nut mixture that contains
80% peanuts by mixing 20 oz. of mixed nuts
with 6 oz. of peanuts. The mixed nuts
contained what percent peanuts?
74%
54%
9) Rob asked you to make 15 L of fruit punch
that contains 24% fruit juice by mixing
together some amount of Brand A fruit
punch and some amount of Brand B fruit
punch. Brand A contains 40% fruit juice
and Brand B contains 10% fruit juice. How
much of each do you need?
10) To build the garden of your dreams you
need 9 yd³ of soil containing 25% sand.
You have two types of soil you can combine
to achieve this: soil with 45% sand and soil
with 15% sand. How much of each soil
should you use?
3 yd³ with 45% sand, 6 yd³ with 15% sand
7 L of Brand A, 8 L of Brand B
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Worksheet by Kuta Software LLC