Answer:
Part 1) [tex]30\ coupons[/tex]
Part 2) [tex]12\ sandwiches[/tex]
Part 3) [tex]60\ push-ups[/tex]
Part 4) [tex]96\ minutes[/tex]
Part 5) [tex]\$95[/tex]
Part 6) [tex]1\frac{7}{8}\ cups\ of\ pretzel[/tex]
Step-by-step explanation:
Part 1) we know that
At the Green House of Salad , you get a $1 coupon for every 3 salads you buy
so
Using proportion
Find out the number of salads you could buy to get $10 in coupons
[tex]\frac{1}{3}=\frac{10}{x} \\\\x=3(10)\\\\x=30\ coupons[/tex]
Part 2) we know that
Kim orders catering for $35
She spend $5 on a large order of potato salad and the rest on turkey sandwiches
Each sandwich is $2.50
How many sandwiches does Kim buy?
step 1
Find out how many Kim spent on turkey sandwiches
Subtract $5 from $35
35-5=$30
step 2
Using proportion, find out the number of sandwiches
so
[tex]\frac{1}{2.50}=\frac{x}{30}\\\\x=30/2.50\\\\x= 12\ sandwiches[/tex]
Part 3) we know that
Molly does 10 push-ups at the same time as Liza does 15 push-ups
so
Using proportion
Find out how many push-ups Liza does when Molly does 40 push-ups
[tex]\frac{10}{15}=\frac{40}{x}\\\\x=15(40)/10\\\\x=60\ push-ups[/tex]
Part 4) we know that
A shark swim at a speed of 25 miles per hour
The shark rest after 40 miles
How long in minutes, does the shark swim before resting?
Using proportion
Find out how long in minutes the shark swim 40 miles
Remember that
[tex]1\ h=60\ min[/tex]
[tex]\frac{25}{60}\ \frac{miles}{minutes}=\frac{40}{x}\ \frac{miles}{minutes}\\\\x=60(40)/25\\\\x=96\ minutes[/tex]
Part 5) we know that
For every bar of soap that Aly sells, she earns $5
For every mug that Janet sells, she earns twice as much as Aly
Aly sells 5 bars of soap and Janet sells 7 mugs
How much money did they make altogether?
step 1
Find out the amount earned by Aly
using proportion
[tex]\frac{1}{5}=\frac{5}{x}\\\\x=5(5)\\\\x=\$25[/tex]
step 2
Find out the amount earned by Janet
Remember that
For every mug that Janet sells, she earns twice as much as Aly
so
For every mug that Janet sells, she earns 2($5)=$10
using proportion
[tex]\frac{1}{10}=\frac{7}{x}\\\\x=10(7)\\\\x=\$70[/tex]
step 3
Adds the amount earned by Aly plus the amount earned by Janet
[tex]25+70=\$95[/tex]
Part 6) we know that
Ted is making trail mix for a party
He mixes 1 1/2 cups of nuts, 1/4 cup of rising and 1/4 cup of pretzel
How many cups of pretzel does Ted need to make 15 cups of trail mix?
Adds the quantities
[tex]1\frac{1}{2}+\frac{1}{4} +\frac{1}{4}=2\ cups\ of \ trail\ mix[/tex]
That means
For every 2 cups of trail mix we need 1/4 cup of pretzel
using proportion
Find out how many cups of pretzel does Ted need to make 15 cups of trail mix
[tex]\frac{2}{(1/4)}=\frac{15}{x}\\\\x=15(1/4)/2\\\\x=\frac{15}{8}\ cups\ of\ pretzel[/tex]
Convert to mixed number
[tex]\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ cups\ of\ pretzel[/tex]
