Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

7. jada’s sister works in a furniture store. a. jada’s sister earns $15…

Question

  1. jada’s sister works in a furniture store.

a. jada’s sister earns $15 per hour. the store offers her a raise—a 9% increase. after the raise, how much will jada’s sister make per hour?

b. the store buys a table for $200 and sells it for $350. what percentage is the markup?

c. jada’s sister earns a commission that is 3.5% of the amount she sells. last week, she sold $7,000 worth of furniture. how much was her commission?

Explanation:

Part a

Step1: Calculate the raise amount

The raise is 9% of $15. So, we calculate 9% of 15. Mathematically, that's $0.09\times15$.
$0.09\times15 = 1.35$

Step2: Add the raise to the original wage

The original wage is $15, and we add the raise of $1.35. So, $15 + 1.35$.
$15+1.35 = 16.35$

Step1: Find the markup amount

The markup is the selling price minus the cost price. So, $350 - 200$.
$350 - 200 = 150$

Step2: Calculate the markup percentage

The markup percentage is (markup amount / cost price) $\times 100\%$. So, $\left(\frac{150}{200}
ight)\times 100\%$.
$\frac{150}{200}=0.75$, and $0.75\times100\% = 75\%$

Step1: Calculate the commission

The commission is 3.5% of $7000. Mathematically, that's $0.035\times7000$.
$0.035\times7000 = 245$

Answer:

\$16.35 per hour

Part b