smc-3086-30-$ and cents calculations

Number and Algebra, NAP-J2-35

Peter is selling tickets for a raffle.

Each ticket costs $1.50.

Peter sells a total of 60 tickets.

How much money does Peter collect for selling the tickets?

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`$90`

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`text(Money collected)`	`= 60 xx $1.50`
	`=(60 xx $1) + (60 xx 0.5)`
	`= $90`

Number and Algebra, NAP-K2-30 SA

Pablo buys art supplies for his art studio.

He rounds each price to the nearest dollar to estimate the total cost of the supplies.

How much is Pablo's estimate?

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`$22`

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`text(After rounding to the nearest dollar,)`

`text(Pablo’s Estimate)`	`= 7 + 2 + 3 + 7 + 3`
	`= $22`

Number and Algebra, NAP-K2-11

Jarryd buys 3 water bottles for $1.50 each.

He pays for these water bottles with a $10 note.

How much change should Jarryd receive?

`$1.50`	`$4.50`	`$5.00`	`$5.50`

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`$5.50`

Show Worked Solution

`text(Change)`	`= $10 – (3 xx $1.50)`
	`= $10 – $4.50`
	`= $5.50`

Number and Algebra, NAP-J2-10

Patrick gets $7.35 in pocket money each week.

He does extra jobs one week and earns $4.75 more.

How much money did Patrick receive in total in the week?

`$11.00`	`$11.10`	`$12.00`	`$12.10`

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`$12.10`

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`$7.35 + 4.75 = $12.10`

Number and Algebra, NAP-J2-08

Emily has 85 cents in 5-cent pieces.

How many 5-cent pieces does she have?

`17`	`80`	`40`	`425`

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`17`

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`85 ÷ 5 = 17\ text(pieces)`

Number and Algebra, NAP-F2-36 SA

Horace bought some pens for school with a $5 note.

Each of the pens cost 35 cents.

Horace received $1.15 change.

How many pens did he buy?

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`11`

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`text(One strategy:)`

`text(Consider some different numbers of pens,)`

`text(10 pens cost $3.50 ⇒ change of $1.50)`

`:. 11\ text(pens cost $3.85 ⇒ change of $1.15)`

Number and Algebra, NAP-E2-18 SA

Henry bought an ice cream cone for $2.85 using coins in his pocket.

After paying, he counted $1.45 left in coins.

How much money in coins did Henry have to start with?

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`$4.30`

Show Worked Solution

`$2.85 + $1.45 = $4.30`

Number and Algebra, NAP-H2-35 SA

Byron spent $12.80 on pens for the new school year.

Each pen cost 40 cents.

How many pens did he buy?

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`32\ text(pens)`

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`text(Strategy 1:)`

`=> 10\ text(pens cost $4.00)`

`=> 30\ text(pens cost $12.00)`

`:. 32\ text(pens cost $12.80)`

`text(Strategy 2:)`

`text(Using long division,)`

`$12.80 = 1280¢`

`\ \ \ 32`

`40` `\ 1280`

`120\ \ \ `

`qquad 80`

`qquad 80\ \ \ `

Number and Algebra, NAP-H2-19

Sharon bought 6 chocolate bars that cost $1.20 each.

She gave the shopkeeper a $10 note.

How much change should Sharon expect?

`$2.80`	`$4`	`$7.20`	`$8.80`

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`$2.80`

Show Worked Solution

`text(C) text(ost of 6 chocolate bars)`

`6 xx $1.20 = $7.20`

`:.\ text(Sharon’s change)`	`=10.00 – 7.20`
	`=$2.80`

Number and Algebra, NAP-I2-16

Emelda buys the following items.

Emelda gives the shop owner $40.

How much change should she get?

`$7`	`$8`	`$32`	`$72`

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`$8`

Show Worked Solution

`text(Total cost of all items)`

`= $4.10 + $5.70 + $22.20`

`= $32`

`:.\ text(Amount of change)`	`= $40 – $32`
	`= $8`

Number and Algebra, NAP-D2-15

Isla and Grace both bought a new towel and swimmers for summer.

They each spent the same amount of money.

Isla's towel cost $17.85 and her swimmers cost $22.15.

Grace's towel cost $20.90.

How much did Grace's swimmers cost?

`$19.00`	`$19.10`	`$20.90`	`$22.15`

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`$19.10`

Show Worked Solution

`text(Isla’s total cost)`	`=17.85 + 22.15`
	`=$40.00`

`:.\ text(Grace’s swimmers)`	`=40.00 – 20.90`
	`=20.00 – 0.90`
	`=$19.10`

Number and Algebra, NAP-I2-01

Bojacks lives in South Australia and receives 10 cents for every glass bottle that he takes to the recycling depot.

Bojacks recycles 28 glass bottles.

How much money will he receive?

`28 ¢`	`$2.80`	`$28`	`$280`

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`$2.80`

Show Worked Solution

`28 xx 10\ text(cents)`

`= 280\ text(cents)`

`= $2.80`