Math / Algebra

QuestionSophia buys a mixed bunch of flowers for $\$ 15$ . Then she buys roses for $\$ 3$ each and tulips for $\$ 2$ each.
Write an algebraic expression that can be used to find the total amount of money Sophia will spend on flowers if she buys any number of roses, $r$ , and any number of tulips, $p$ .
Then find the total amount of money Sophia will spend on flowers if she buys 7 roses and 4 tulips.
Use the number pad, $r$ , and $p$ to enter your answers in the boxes.
The algebraic expression $15+3 r+2 p$ represents the total amount of money Sophia will spend on flowers if she buys any number of roses and tulips.
Sophia will spend a total of $\$ 44$ on flowers if she buys 7 roses and 4 tulips.

Studdy Solution

STEP 1

1. Sophia initially spends \$15 on a mixed bunch of flowers.
2. Each rose costs \$3.
3. Each tulip costs \$2.
4. $ r $ represents the number of roses.
5. $ p $ represents the number of tulips.

STEP 2

1. Write an algebraic expression for the total cost.
2. Calculate the total cost for a specific number of roses and tulips.

STEP 3

To find the total amount of money Sophia will spend, we need to add the cost of the mixed bunch, the cost of the roses, and the cost of the tulips.
The cost of the mixed bunch is \$15.
The cost of the roses is $3r$ , where $r$ is the number of roses.
The cost of the tulips is $2p$ , where $p$ is the number of tulips.

STEP 4

Combine these costs into a single algebraic expression:
$15 + 3r + 2p$
This expression represents the total amount of money Sophia will spend on flowers if she buys any number of roses and tulips.

STEP 5

Substitute $r = 7$ and $p = 4$ into the expression to find the total cost.
$15 + 3(7) + 2(4)$

STEP 6

Calculate each part of the expression:
$3(7) = 21$
$2(4) = 8$

STEP 7

Add these values to the initial cost:
$15 + 21 + 8 = 44$
Sophia will spend a total of \$44 on flowers if she buys 7 roses and 4 tulips.

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Studdy Solution

STEP 1

1. Sophia initially spends \$15 on a mixed bunch of flowers.
2. Each rose costs \$3.
3. Each tulip costs \$2.
4. \( r \) represents the number of roses.
5. \( p \) represents the number of tulips.

STEP 2

1. Write an algebraic expression for the total cost.
2. Calculate the total cost for a specific number of roses and tulips.

STEP 3

STEP 4

Combine these costs into a single algebraic expression:
$15 + 3r + 2p$
This expression represents the total amount of money Sophia will spend on flowers if she buys any number of roses and tulips.

STEP 5

Substitute $r = 7$ and $p = 4$ into the expression to find the total cost.
$15 + 3(7) + 2(4)$

STEP 6

Calculate each part of the expression:
$3(7) = 21$
$2(4) = 8$

STEP 7

Add these values to the initial cost:
$15 + 21 + 8 = 44$
Sophia will spend a total of \$44 on flowers if she buys 7 roses and 4 tulips.

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Studdy Solution

STEP 1

1. Sophia initially spends \$15 on a mixed bunch of flowers.2. Each rose costs \$3.3. Each tulip costs \$2.4. \( r \) represents the number of roses.5. \( p \) represents the number of tulips.

STEP 2

1. Write an algebraic expression for the total cost.2. Calculate the total cost for a specific number of roses and tulips.

STEP 3

STEP 4

Combine these costs into a single algebraic expression: 15+3r+2p 15 + 3r + 2p 15+3r+2pThis expression represents the total amount of money Sophia will spend on flowers if she buys any number of roses and tulips.

STEP 5

Substitute r=7 r = 7 r=7 and p=4 p = 4 p=4 into the expression to find the total cost.15+3(7)+2(4) 15 + 3(7) + 2(4) 15+3(7)+2(4)

STEP 6

Calculate each part of the expression:3(7)=21 3(7) = 21 3(7)=212(4)=8 2(4) = 8 2(4)=8

STEP 7

Add these values to the initial cost:15+21+8=44 15 + 21 + 8 = 44 15+21+8=44 Sophia will spend a total of \$44 on flowers if she buys 7 roses and 4 tulips.

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1. Sophia initially spends \$15 on a mixed bunch of flowers.
2. Each rose costs \$3.
3. Each tulip costs \$2.
4. \( r \) represents the number of roses.
5. \( p \) represents the number of tulips.

1. Write an algebraic expression for the total cost.
2. Calculate the total cost for a specific number of roses and tulips.

Combine these costs into a single algebraic expression:
$15 + 3r + 2p$
This expression represents the total amount of money Sophia will spend on flowers if she buys any number of roses and tulips.

Substitute $r = 7$ and $p = 4$ into the expression to find the total cost.
$15 + 3(7) + 2(4)$

Calculate each part of the expression:
$3(7) = 21$
$2(4) = 8$

Add these values to the initial cost:
$15 + 21 + 8 = 44$
Sophia will spend a total of \$44 on flowers if she buys 7 roses and 4 tulips.