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Math  /  Numbers & Operations

QuestionConcept CHECK Find the total deposit. Check your answers in the back of the book.
1. Emily Anderson's deposit includes two checks: $231.09\$ 231.09 and \987.67;cash:9one−dollarbills,9five−dollarbills,8ten−dollarbills,14quarters,25dimes,18nickels,and64pennies.Shereceived987.67; cash: 9 one-dollar bills, 9 five-dollar bills, 8 ten-dollar bills, 14 quarters, 25 dimes, 18 nickels, and 64 pennies. She received \40.00 40.00 cash from the total amount.
2. Jacob Thomas had a deposit of two checks: $341.79\$ 341.79 and $17.96\$ 17.96; cash: 35 one-dollar bills, 17 five-dollar bills, 44 ten-dollar bills, 54 quarters, 36 dimes, 32 nickels, and 21 pennies.

Studdy Solution

STEP 1

1. Emily Anderson's deposit includes checks, cash in bills, and coins.
2. Jacob Thomas's deposit includes checks, cash in bills, and coins.
3. We need to calculate the total deposit for each individual after accounting for any cash received back.

STEP 2

1. Calculate Emily Anderson's total deposit.
2. Calculate Jacob Thomas's total deposit.

STEP 3

Calculate the total amount from Emily Anderson's checks.
$231.09+$987.67=$1218.76\$ 231.09 + \$ 987.67 = \$ 1218.76

STEP 4

Calculate the total amount from Emily Anderson's cash in bills.
9×1+9×5+8×10=9+45+80=$1349 \times 1 + 9 \times 5 + 8 \times 10 = 9 + 45 + 80 = \$ 134

STEP 5

Calculate the total amount from Emily Anderson's coins.
14×0.25+25×0.10+18×0.05+64×0.01=3.50+2.50+0.90+0.64=$7.5414 \times 0.25 + 25 \times 0.10 + 18 \times 0.05 + 64 \times 0.01 = 3.50 + 2.50 + 0.90 + 0.64 = \$ 7.54

STEP 6

Calculate Emily Anderson's total deposit before cash back.
$1218.76+$134+$7.54=$1360.30\$ 1218.76 + \$ 134 + \$ 7.54 = \$ 1360.30

STEP 7

Subtract the cash received from Emily Anderson's total deposit.
$1360.30−$40.00=$1320.30\$ 1360.30 - \$ 40.00 = \$ 1320.30

STEP 8

Calculate the total amount from Jacob Thomas's checks.
$341.79+$17.96=$359.75\$ 341.79 + \$ 17.96 = \$ 359.75

STEP 9

Calculate the total amount from Jacob Thomas's cash in bills.
35×1+17×5+44×10=35+85+440=$56035 \times 1 + 17 \times 5 + 44 \times 10 = 35 + 85 + 440 = \$ 560

STEP 10

Calculate the total amount from Jacob Thomas's coins.
54×0.25+36×0.10+32×0.05+21×0.01=13.50+3.60+1.60+0.21=$18.9154 \times 0.25 + 36 \times 0.10 + 32 \times 0.05 + 21 \times 0.01 = 13.50 + 3.60 + 1.60 + 0.21 = \$ 18.91

STEP 11

Calculate Jacob Thomas's total deposit.
$359.75+$560+$18.91=$938.66\$ 359.75 + \$ 560 + \$ 18.91 = \$ 938.66
The total deposit for Emily Anderson is:
$1320.30\boxed{\$ 1320.30}
The total deposit for Jacob Thomas is:
$938.66\boxed{\$ 938.66}

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