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Arada [10]
3 years ago
8

Al has twice as many cards as Bob, and Jane has three times as many cards as Bob. Together, they have 372 cards. How many cards

does each of them have?
Mathematics
1 answer:
Musya8 [376]3 years ago
8 0

Answer: Bob has 62 cards.

All has 124 cards.

Jane has 186 cards

Step-by-step explanation:

Let x represent the number of cards that Bob has.

Al has twice as many cards as Bob. It means that the number of cards that All has is 2x.

Jane has three times as many cards as Bob. It means that the number of cards that Jane has is 3x.

Together, they have 372 cards. It means that

x + 2x + 3x = 372

6x = 372

x = 372/6

x = 62

The number of cards that Al has is

2 × 62 = 124

The number of cards that Jane has is

3 × 62 = 186

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3 years ago
Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc
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The maximum amount can Carmen purchase so that after her store bucks and discount are applied is \boxed{\$ 110}.

Further Explanation:

Given:

Carmen has \$ 30 in store bucks.

A 25\% discount coupon for a local department store.

The total amount should be less than \$ 60 before sales tax.

Explanation:

Consider the amount of the purchase as A.

The Carmen has \$ 30 in store bucks.

The new amount will be \left( {A - 30} \right).

There is a 25\% discount coupon for a local department store.

The amount after discount can be calculated as follows,

\begin{aligned}{\text{Amount}} &= \left( {1 - 0.25} \right) \times \left( {A - 30} \right) \\&= 0.75\left( {A - 30} \right) \\\end{alignedd}

The total amount should be less than \$ 60 before sales tax.

The maximum amount can Carmen purchases so that after her store bucks and discount are applied can be calculated as follows,

\begin{aligned}0.75\left( {A - 30} \right) &\leqslant 60 \\\frac{{0.75\left( {A - 30} \right)}}{{0.75}} &\leqslant \frac{{60}}{{0.75}} \\ A - 30 &\leqslant 80 \\A - 30 + 30 &\leqslant 80 + 30 \\A &\leqslant 110 \\\end{aligned}

The maximum amount can Carmen purchase so that after her store bucks and discount are applied is \boxed{\$ 110}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: Tax, returns, filed, tax return, Carmen, store bucks, department store, maximum, dollar, amount, Carmen purchase, discount, 25% discount coupon, coupon, sales tax.

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