Dezeree received $100 gift card and needs new sweaters for school the sweaters cost $27.50 each write an equation of determine how many sweaters she can buy and spend exactly a 100

Question

solve it and determine it's a value is a viable solution

Answer 1

To determine how many sweaters Dezeree can buy with her $100 gift card, we can set up the following equation:

Let \( x \) be the number of sweaters Dezeree can buy. The cost of each sweater is $27.50, so the total cost for \( x \) sweaters will be \( 27.50x \).

We want the total cost to equal the amount on her gift card:

\[ 27.50x = 100 \]

Now, we will solve for \( x \):

1. Divide both sides of the equation by \( 27.50 \):

\[ x = \frac{100}{27.50} \]

2. Calculate the value:

\[ x = 3.6363 \ldots \]

Since Dezeree cannot buy a fraction of a sweater, we round down to the nearest whole number. Thus, she can buy 3 sweaters.

Now, let's check if buying 3 sweaters will exactly use the $100 gift card:

• Cost of 3 sweaters:

\[ 3 \times 27.50 = 82.50 \]

After buying 3 sweaters, she will have some money left over:

\[ 100 - 82.50 = 17.50 \]

Let's check if she can afford 4 sweaters:

• Cost of 4 sweaters:

\[ 4 \times 27.50 = 110 \]

Since $110 is more than $100, she cannot afford 4 sweaters.

Thus, the viable solution is that Dezeree can buy 3 sweaters and will have $17.50 remaining on her gift card.