Question

Mrs. Smith decides to buy three sweaters and a pair of jeans. she had $120 in her wallet. if the price of jeans is $45,

Answer 1

Answer:

$3s+2j\leq 120$. The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.

Step-by-step explanation:

Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.

We write $3s+2j\leq 120$.

We know the jeans cost $45 each, so j=45. We substitute,

$3s+2(45)\leq 120\\3s+90\leq 120$

We solve for s by subtracting 90 to the other side and dividing the result by 3.

$3s+90-90\leq 120-90\\3s\leq 30\\\frac{3s}{3}\leq\frac{30}{3}$

$s\leq 10$.

The sweaters cost $10 or less each.