Firstly, use the distributive property of multiplication (A(B + C) = A×B + A×C) on -2(q - 5) and -3(q + 1):
Next, apply the addition property of equality (whatever you add to one side you have to add the same quantity to the other), and add 3q on both sides:
Lastly, apply the subtraction property of equality (whatever you subtract on one side you have to subtract the same amount on the other side), and subtract 10 on both sides. <u>Your final answer will be </u>
Answer:
#5: 180 paperclips in total.
#6: 126 stamps in total.
#7: Elena should give Lucy 15 colored pencils.
Step-by-step explanation:
This explanation solves each question by setting a single unknown, .
Let the initial number of paperclips of Antonio. That should also be the number of Abby's paperclips.
Initially:
Antonio gives paperclips to Abby. After that,
Abby now possess twice as many paperclips as Antonio does. In other words,
.
By the distributive property:
.
Substract from both sides
.
Both Antonio and Abby initially possess 90 paperclips. That's 180 in total.
<h3>#6</h3>Similarly, let be the number of Emily's stamps. That should be the same as the number of Jasmine's stamps.
Initially:
After Emily gives stamps to Jasmine:
Jasmine now possesses twice as many stamps as Emily does. In other words,
.
.
Jasmine used to possess 126 stamps. Now she possesses stamps after receiving
stamps from Emily.
Let the number of pencils that Elena needs to give to Lucy be .
Initially:
After Elena gives pencils to Lucy:
Elena should now possess four more pencils than Lucy does. In other words,
.
.
.