Question
Instructions: Find the unit rate.
Solution
Expert Verified
3.8(323 Voting)
AlissaMaster · Tutor for 5 years
Answer
### a) 13 kids per group<br />### b) 403.33 litres per hour<br />### c) 13.49 km per litre<br />### d) \$35 per hour<br />### e) 0.5 lb per day<br />### f) 72 words per minute<br />### g) \$1.32 per coffee<br />### h) 32.57 pages per hour<br />### i) 35.5 calls per hour<br />### j) 14 strawberries per basket<br />### k) 5.84 goals per game<br />### l) 5.63 mistakes per test
Explain
## Step1: Calculate the unit rate for each scenario<br />### For each scenario, divide the total quantity by the number of units to find the unit rate.<br /><br />a) 78 kids are split into 6 camp groups:<br />\[ \frac{78 \text{ kids}}{6 \text{ groups}} = 13 \text{ kids per group} \]<br /><br />b) 1210 litres leak out of a pool in 3 hours:<br />\[ \frac{1210 \text{ litres}}{3 \text{ hours}} = 403.33 \text{ litres per hour} \]<br /><br />c) A car drives 850 km on 63 L of gas:<br />\[ \frac{850 \text{ km}}{63 \text{ L}} \approx 13.49 \text{ km per litre} \]<br /><br />d) An employee is paid \( \$140 \) for 4 hours of work:<br />\[ \frac{\$140}{4 \text{ hours}} = \$35 \text{ per hour} \]<br /><br />e) A dog eats 15 lb of kibble every 30 days:<br />\[ \frac{15 \text{ lb}}{30 \text{ days}} = 0.5 \text{ lb per day} \]<br /><br />f) A student types 2520 words in 35 minutes:<br />\[ \frac{2520 \text{ words}}{35 \text{ minutes}} = 72 \text{ words per minute} \]<br /><br />g) Someone buys 11 coffees for their coworkers for \$14.50:<br />\[ \frac{\$14.50}{11 \text{ coffees}} \approx \$1.32 \text{ per coffee} \]<br /><br />h) Someone reads 114 pages of a book in 3.5 hours:<br />\[ \frac{114 \text{ pages}}{3.5 \text{ hours}} \approx 32.57 \text{ pages per hour} \]<br /><br />i) A call centre gets 142 calls in 4 hours:<br />\[ \frac{142 \text{ calls}}{4 \text{ hours}} = 35.5 \text{ calls per hour} \]<br /><br />j) 476 strawberries are divided into 34 baskets:<br />\[ \frac{476 \text{ strawberries}}{34 \text{ baskets}} = 14 \text{ strawberries per basket} \]<br /><br />k) A team scores 111 goals in 19 games:<br />\[ \frac{111 \text{ goals}}{19 \text{ games}} \approx 5.84 \text{ goals per game} \]<br /><br />l) A math teacher finds 231 mistakes on 41 tests:<br />\[ \frac{231 \text{ mistakes}}{41 \text{ tests}} \approx 5.63 \text{ mistakes per test} \]
Click to rate: