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chapter6.2b
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àï6.2èU. S. Measurements of Weight.
äèPlease convert the following U. S. Measurements of
êê Weight.
âêêïConvert 7 lbs. to ______ oz.
#ë 1 lb.êï7 lb.ë ┌─¥ê xè =è 112
#ë──────è =è ─────ë │
#ë16 oz.êïx oz.ë │êèxè =è 112 oz.
#êêêêè│
#ë 1 ∙ xè =è 16 ∙ 7è──┘
éSThe U. S. Measurements of Weight are ounce, pound, and ton.
The equivalencies between ç units of weight are as follows:
êêè 1 pound (lb.)è =è 16 ounces (oz.)
êêêë1 tonè =è 2000 lbs.
In order to convert 7 lbs. to ounces, you should set up a Proportion
using the equivalence, "16 oz.è=è1 lb."
êêêè 16 ozs.ê x ozs.
#êêêè ──────è =è ─────
êêêë1 lb.êï7 lbs.
Next, you should drop the units and solve the proportion.
êêêê 16êïx
#êêêê ──è =è ─
êêêêï1êï7
êêêè 16 ∙ 7è =è 1 ∙ x
êêêê112è =è x
Finally, the unit is put back in the answer,èxè =è 112 oz.
ï1
êêêïConvert 35 oz. to _____ lbs.
êè 1êêè1êêè 3
#ëA)ï2 ─ lbs.ë B)ï2 ─ lbs.ë C)ï2 ── lbs.ë D) å
êè 4êêè3êêè16
üêêê16 oz.êï35 oz.
#êêêë ──────è =è ──────
êêêê1 lb.êïx lbs.
êêêë 16 ∙ xè =è 1 ∙ 35
êêêë 16 ∙ xè =è 35
êêêêè xè =è 35/16
êêêêè xè =è 2 3/16 lbs.
Ç C
ï2
êêê Convert 9 lbs. to _____ oz.
ëA)ï144 oz.êB)ï136 oz.êC)ï127 oz..ë D) å
üêêê 1 lb.êï9 lbs.
#êêêë ──────è =è ─────
êêêë 16 oz.êïx oz.
êêêê1 ∙ xè =è 16 ∙ 9
êêêêè xè =è 144
êêêêè xè =è 144 oz.
Ç A
ï3
êêêConvert 9000 lbs. to _____ tons.
ëA)ï4 1/4 tonsè B)ï4 1/2 tonsè C)ï5 1/4 tonsè D) å
üêêë2000 lbs.ê 9000 lbs.
#êêêè ────────è =è ────────
êêêë1 tonêëx tons
êêêè 2000 ∙ xè =è 1 ∙ 9000
êêêè 2000 ∙ xè =è 9000
êêêêè xè =è 9000/ 2000
êêêêè xè =è 4 1/2 tons
Ç B
ï4êêêï2
#êêêïConvert 1 ─ tons to _____ lbs.
êêêêë3
ïA)ï3,333 1/3 lbs.ë B)ï3,750 lbs.ë C)ï1 667 lbs.è D) å
üêêë 1 tonêè 1 2/3 tons
#êêêè ────────è =è ──────────
êêêè 2000 lbs.êèx lbs.
êêêê1 ∙ xè =è 2000 ∙ 5/3
êêêêè xè =è 10000/3
êêêêè xè =è 3333 1/3
êêêêè xè =è 3,333 1/3 lbs.
Ç A
ï5
êêêConvert 88 oz. to _____ lbs.
ëA)ï5 lbs.êïB)ï5 1/2 lbs.ë C)ï6 lbs.ê D) å
üêêê16 oz.êï88 oz.
#êêêè ────────è =è ──────
êêêê1 lb.êèx lbs.
êêêë 16 ∙ xè =è 1 ∙ 88
êêêë 16 ∙ xè =è 88
êêêêè xè =è 88/16
êêêêè xè =è 5 8/16 lbs.è=è 5 1/2 lbs.
Ç B
ï6êêê3
#êêêConvert 2 ─ lbs. to _____ oz.
êêêêè8
ëA)ï38 oz.ê B)ï42 oz.ê C)ï48 oz.ê D) å
üêêë1 lb.êï2 3/8 lbs.
#êêê ────────è =è ─────────
êêêè16 oz.êè x oz.
êêêê1 ∙ xè =è 16 ∙ 19/8
êêêêè xè =è 304/8
êêêêè xè =è 38
êêêêè xè =è 38 oz.
Ç A
ï7êêë 3
#êêêConvertï─ tons to _____ lbs.
êêêêï5
è A)ï1400 lbs.ë B)ï1200 lbs.ë C)ï1600 lbs.ë D) å
üêêê1 tonêè3/5 tons
#êêêè ────────è =è ────────
êêêè 2000 lbs.êèx lbs.
êêêè 1 ∙ xè =è 2000 ∙ 3/5
êêêê xè =è 6000/5
êêêê xè =è 1200
êêêê xè =è 1,200 lbs.
Ç B
ï8êë Addè 4 lbs.ï7 oz.
êêêê+ 3 lbs. 11 oz.
#êêêêï─────────────
ïA)ï7 lbs. 8 oz.ëB)ï8 lbs. 4 oz.ëC)ï8 lbs. 2 oz.ëD) å
ü
êêêêï4 lbs.ï7 oz.
êêêê+ 3 lbs. 11 oz.
#êêêêï────────────
êêêêï7 lbs. 18 oz.è =è 8 lbs. 2 oz.
Ç C
ï9ê Subtractè 8 lbs.ï4 oz.
êêêê- 3 lbs.ï7 oz.
#êêêêï─────────────
ïA)ï3 lbs. 12 oz.è B)ï4 lbs. 13 oz.è C)ï5 lbs. 8 oz.è D) å
ü
êêè 8 lbs.ï4 oz.è =è 7 lbs.ï20 oz.
êêï- 3 lbs.ï7 oz.è =ï- 3 lbs.è7 oz.
#êêè ────────────êï─────────────
êêêêêè 4 lbs.ï13 oz.
Ç B
ï10ëIf one brick weighs 1 1/4 lbs., how much would 1000
êêïbricks weigh?
è A)ï1250 lbs.ë B)ï1500 lbs.êC)ï1650 lbs.ë D) å
üêëThis can be set up as a Proportion.
#ë1 brickêè 1000 bricksë┌¥è 1 ∙ xè =è 1000 ∙ 1 1/4
#ë─────────è =è ─────────── ,è│êïxè =è 1000 ∙ 5/4
#ë1 1/4 lbs.êè x lbs.ë──┘êïxè =è 5000/4
êêêêêêêxè =è 1250 lbs.
Ç A